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Finding the Fourth Proportional to 747.19, 1,031.14 and 411.10

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Solution

The fourth proportional to 747.19, 1,031.14 and 411.10 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.19 : 1,031.14 = 411.10 : x
  2. Step 2: Convert to fraction form
    747.19/1,031.14 = 411.10/x
  3. Step 3: Cross multiply
    747.19x = 1,031.14 × 411.10
  4. Step 4: Simplify right side
    747.19x = 423,901.65
  5. Step 5: Solve for x
    x = 423,901.65/747.19
  6. Step 6: Final answer
    x = 567.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.