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Finding the Fourth Proportional to 1,118.17, 1,677.81 and 502.31

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Solution

The fourth proportional to 1,118.17, 1,677.81 and 502.31 is: 753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.17 : 1,677.81 = 502.31 : x
  2. Step 2: Convert to fraction form
    1,118.17/1,677.81 = 502.31/x
  3. Step 3: Cross multiply
    1,118.17x = 1,677.81 × 502.31
  4. Step 4: Simplify right side
    1,118.17x = 842,780.74
  5. Step 5: Solve for x
    x = 842,780.74/1,118.17
  6. Step 6: Final answer
    x = 753.71

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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.