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Finding the Fourth Proportional to 1,089.30, 1,631.04 and 575.22

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Solution

The fourth proportional to 1,089.30, 1,631.04 and 575.22 is: 861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.30 : 1,631.04 = 575.22 : x
  2. Step 2: Convert to fraction form
    1,089.30/1,631.04 = 575.22/x
  3. Step 3: Cross multiply
    1,089.30x = 1,631.04 × 575.22
  4. Step 4: Simplify right side
    1,089.30x = 938,206.83
  5. Step 5: Solve for x
    x = 938,206.83/1,089.30
  6. Step 6: Final answer
    x = 861.29

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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.