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Finding the Fourth Proportional to 1,151.57, 1,589.20 and 709.72

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Solution

The fourth proportional to 1,151.57, 1,589.20 and 709.72 is: 979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.57 : 1,589.20 = 709.72 : x
  2. Step 2: Convert to fraction form
    1,151.57/1,589.20 = 709.72/x
  3. Step 3: Cross multiply
    1,151.57x = 1,589.20 × 709.72
  4. Step 4: Simplify right side
    1,151.57x = 1,127,887.02
  5. Step 5: Solve for x
    x = 1,127,887.02/1,151.57
  6. Step 6: Final answer
    x = 979.43

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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.