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Finding the Fourth Proportional to 932.24, 1,285.40 and 637.68

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Solution

The fourth proportional to 932.24, 1,285.40 and 637.68 is: 879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.24 : 1,285.40 = 637.68 : x
  2. Step 2: Convert to fraction form
    932.24/1,285.40 = 637.68/x
  3. Step 3: Cross multiply
    932.24x = 1,285.40 × 637.68
  4. Step 4: Simplify right side
    932.24x = 819,673.87
  5. Step 5: Solve for x
    x = 819,673.87/932.24
  6. Step 6: Final answer
    x = 879.25

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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.