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Finding the Fourth Proportional to 756.95, 1,044.63 and 462.24

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Solution

The fourth proportional to 756.95, 1,044.63 and 462.24 is: 637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.95 : 1,044.63 = 462.24 : x
  2. Step 2: Convert to fraction form
    756.95/1,044.63 = 462.24/x
  3. Step 3: Cross multiply
    756.95x = 1,044.63 × 462.24
  4. Step 4: Simplify right side
    756.95x = 482,869.77
  5. Step 5: Solve for x
    x = 482,869.77/756.95
  6. Step 6: Final answer
    x = 637.92

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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.