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Finding the Fourth Proportional to 1,118.39, 1,677.90 and 532.92

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Solution

The fourth proportional to 1,118.39, 1,677.90 and 532.92 is: 799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.39 : 1,677.90 = 532.92 : x
  2. Step 2: Convert to fraction form
    1,118.39/1,677.90 = 532.92/x
  3. Step 3: Cross multiply
    1,118.39x = 1,677.90 × 532.92
  4. Step 4: Simplify right side
    1,118.39x = 894,186.47
  5. Step 5: Solve for x
    x = 894,186.47/1,118.39
  6. Step 6: Final answer
    x = 799.53

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