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Finding the Fourth Proportional to 747.50, 1,120.99 and 285.41

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Solution

The fourth proportional to 747.50, 1,120.99 and 285.41 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.50 : 1,120.99 = 285.41 : x
  2. Step 2: Convert to fraction form
    747.50/1,120.99 = 285.41/x
  3. Step 3: Cross multiply
    747.50x = 1,120.99 × 285.41
  4. Step 4: Simplify right side
    747.50x = 319,942.03
  5. Step 5: Solve for x
    x = 319,942.03/747.50
  6. Step 6: Final answer
    x = 428.02

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Double scale
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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.