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Finding the Fourth Proportional to 749.42, 1,124.16 and 383.78

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Solution

The fourth proportional to 749.42, 1,124.16 and 383.78 is: 575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.42 : 1,124.16 = 383.78 : x
  2. Step 2: Convert to fraction form
    749.42/1,124.16 = 383.78/x
  3. Step 3: Cross multiply
    749.42x = 1,124.16 × 383.78
  4. Step 4: Simplify right side
    749.42x = 431,430.12
  5. Step 5: Solve for x
    x = 431,430.12/749.42
  6. Step 6: Final answer
    x = 575.69

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Half scale
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Double scale
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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.