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Finding the Fourth Proportional to 1,043.92, 1,566.12 and 557.44

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Solution

The fourth proportional to 1,043.92, 1,566.12 and 557.44 is: 836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.92 : 1,566.12 = 557.44 : x
  2. Step 2: Convert to fraction form
    1,043.92/1,566.12 = 557.44/x
  3. Step 3: Cross multiply
    1,043.92x = 1,566.12 × 557.44
  4. Step 4: Simplify right side
    1,043.92x = 873,017.93
  5. Step 5: Solve for x
    x = 873,017.93/1,043.92
  6. Step 6: Final answer
    x = 836.29

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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.