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Finding the Fourth Proportional to 1,151.87, 1,589.47 and 654.53

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Solution

The fourth proportional to 1,151.87, 1,589.47 and 654.53 is: 903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.87 : 1,589.47 = 654.53 : x
  2. Step 2: Convert to fraction form
    1,151.87/1,589.47 = 654.53/x
  3. Step 3: Cross multiply
    1,151.87x = 1,589.47 × 654.53
  4. Step 4: Simplify right side
    1,151.87x = 1,040,358.14
  5. Step 5: Solve for x
    x = 1,040,358.14/1,151.87
  6. Step 6: Final answer
    x = 903.19

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Why These Related Problems?

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