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Finding the Fourth Proportional to 1,151.52, 1,589.22 and 654.28

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Solution

The fourth proportional to 1,151.52, 1,589.22 and 654.28 is: 902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.52 : 1,589.22 = 654.28 : x
  2. Step 2: Convert to fraction form
    1,151.52/1,589.22 = 654.28/x
  3. Step 3: Cross multiply
    1,151.52x = 1,589.22 × 654.28
  4. Step 4: Simplify right side
    1,151.52x = 1,039,790.89
  5. Step 5: Solve for x
    x = 1,039,790.89/1,151.52
  6. Step 6: Final answer
    x = 902.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.