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Finding the Fourth Proportional to 1,151.96, 1,589.48 and 654.52

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Solution

The fourth proportional to 1,151.96, 1,589.48 and 654.52 is: 903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.96 : 1,589.48 = 654.52 : x
  2. Step 2: Convert to fraction form
    1,151.96/1,589.48 = 654.52/x
  3. Step 3: Cross multiply
    1,151.96x = 1,589.48 × 654.52
  4. Step 4: Simplify right side
    1,151.96x = 1,040,346.45
  5. Step 5: Solve for x
    x = 1,040,346.45/1,151.96
  6. Step 6: Final answer
    x = 903.11

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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.