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Finding the Fourth Proportional to 1,116.73, 1,675.13 and 531.43

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Solution

The fourth proportional to 1,116.73, 1,675.13 and 531.43 is: 797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.73 : 1,675.13 = 531.43 : x
  2. Step 2: Convert to fraction form
    1,116.73/1,675.13 = 531.43/x
  3. Step 3: Cross multiply
    1,116.73x = 1,675.13 × 531.43
  4. Step 4: Simplify right side
    1,116.73x = 890,214.34
  5. Step 5: Solve for x
    x = 890,214.34/1,116.73
  6. Step 6: Final answer
    x = 797.16

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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.