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Finding the Fourth Proportional to 637.92, 882 and 514.80

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Solution

The fourth proportional to 637.92, 882 and 514.80 is: 711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.92 : 882 = 514.80 : x
  2. Step 2: Convert to fraction form
    637.92/882 = 514.80/x
  3. Step 3: Cross multiply
    637.92x = 882 × 514.80
  4. Step 4: Simplify right side
    637.92x = 454,053.60
  5. Step 5: Solve for x
    x = 454,053.60/637.92
  6. Step 6: Final answer
    x = 711.77

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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.