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Finding the Fourth Proportional to 751.38, 1,127.61 and 463.02

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Solution

The fourth proportional to 751.38, 1,127.61 and 463.02 is: 694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.38 : 1,127.61 = 463.02 : x
  2. Step 2: Convert to fraction form
    751.38/1,127.61 = 463.02/x
  3. Step 3: Cross multiply
    751.38x = 1,127.61 × 463.02
  4. Step 4: Simplify right side
    751.38x = 522,105.98
  5. Step 5: Solve for x
    x = 522,105.98/751.38
  6. Step 6: Final answer
    x = 694.86

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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.