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Finding the Fourth Proportional to 743.13, 1,115.10 and 500.13

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Solution

The fourth proportional to 743.13, 1,115.10 and 500.13 is: 750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.13 : 1,115.10 = 500.13 : x
  2. Step 2: Convert to fraction form
    743.13/1,115.10 = 500.13/x
  3. Step 3: Cross multiply
    743.13x = 1,115.10 × 500.13
  4. Step 4: Simplify right side
    743.13x = 557,694.96
  5. Step 5: Solve for x
    x = 557,694.96/743.13
  6. Step 6: Final answer
    x = 750.47

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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.