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Finding the Fourth Proportional to 749.24, 1,123.82 and 255.68

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Solution

The fourth proportional to 749.24, 1,123.82 and 255.68 is: 383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.24 : 1,123.82 = 255.68 : x
  2. Step 2: Convert to fraction form
    749.24/1,123.82 = 255.68/x
  3. Step 3: Cross multiply
    749.24x = 1,123.82 × 255.68
  4. Step 4: Simplify right side
    749.24x = 287,338.30
  5. Step 5: Solve for x
    x = 287,338.30/749.24
  6. Step 6: Final answer
    x = 383.51

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.