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Finding the Fourth Proportional to 749.14, 1,123.81 and 255.64

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Solution

The fourth proportional to 749.14, 1,123.81 and 255.64 is: 383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.14 : 1,123.81 = 255.64 : x
  2. Step 2: Convert to fraction form
    749.14/1,123.81 = 255.64/x
  3. Step 3: Cross multiply
    749.14x = 1,123.81 × 255.64
  4. Step 4: Simplify right side
    749.14x = 287,294.46
  5. Step 5: Solve for x
    x = 287,294.46/749.14
  6. Step 6: Final answer
    x = 383.50

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.