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Finding the Fourth Proportional to 1,151.85, 1,589.58 and 654.51

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Solution

The fourth proportional to 1,151.85, 1,589.58 and 654.51 is: 903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.85 : 1,589.58 = 654.51 : x
  2. Step 2: Convert to fraction form
    1,151.85/1,589.58 = 654.51/x
  3. Step 3: Cross multiply
    1,151.85x = 1,589.58 × 654.51
  4. Step 4: Simplify right side
    1,151.85x = 1,040,396.01
  5. Step 5: Solve for x
    x = 1,040,396.01/1,151.85
  6. Step 6: Final answer
    x = 903.24

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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.