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Finding the Fourth Proportional to 937.12, 1,405.98 and 547.04

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Solution

The fourth proportional to 937.12, 1,405.98 and 547.04 is: 820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.12 : 1,405.98 = 547.04 : x
  2. Step 2: Convert to fraction form
    937.12/1,405.98 = 547.04/x
  3. Step 3: Cross multiply
    937.12x = 1,405.98 × 547.04
  4. Step 4: Simplify right side
    937.12x = 769,127.30
  5. Step 5: Solve for x
    x = 769,127.30/937.12
  6. Step 6: Final answer
    x = 820.74

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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.