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Finding the Fourth Proportional to 1,124.38, 1,686.65 and 508.43

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Solution

The fourth proportional to 1,124.38, 1,686.65 and 508.43 is: 762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.38 : 1,686.65 = 508.43 : x
  2. Step 2: Convert to fraction form
    1,124.38/1,686.65 = 508.43/x
  3. Step 3: Cross multiply
    1,124.38x = 1,686.65 × 508.43
  4. Step 4: Simplify right side
    1,124.38x = 857,543.46
  5. Step 5: Solve for x
    x = 857,543.46/1,124.38
  6. Step 6: Final answer
    x = 762.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.