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Finding the Fourth Proportional to 1,044.26, 1,566.84 and 557.18

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Solution

The fourth proportional to 1,044.26, 1,566.84 and 557.18 is: 836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.26 : 1,566.84 = 557.18 : x
  2. Step 2: Convert to fraction form
    1,044.26/1,566.84 = 557.18/x
  3. Step 3: Cross multiply
    1,044.26x = 1,566.84 × 557.18
  4. Step 4: Simplify right side
    1,044.26x = 873,011.91
  5. Step 5: Solve for x
    x = 873,011.91/1,044.26
  6. Step 6: Final answer
    x = 836.01

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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.