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Finding the Fourth Proportional to 756.71, 1,043.72 and 462.14

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Solution

The fourth proportional to 756.71, 1,043.72 and 462.14 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.71 : 1,043.72 = 462.14 : x
  2. Step 2: Convert to fraction form
    756.71/1,043.72 = 462.14/x
  3. Step 3: Cross multiply
    756.71x = 1,043.72 × 462.14
  4. Step 4: Simplify right side
    756.71x = 482,344.76
  5. Step 5: Solve for x
    x = 482,344.76/756.71
  6. Step 6: Final answer
    x = 637.42

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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.