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Finding the Fourth Proportional to 1,151.55, 1,589.66 and 679.28

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Solution

The fourth proportional to 1,151.55, 1,589.66 and 679.28 is: 937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.55 : 1,589.66 = 679.28 : x
  2. Step 2: Convert to fraction form
    1,151.55/1,589.66 = 679.28/x
  3. Step 3: Cross multiply
    1,151.55x = 1,589.66 × 679.28
  4. Step 4: Simplify right side
    1,151.55x = 1,079,825.94
  5. Step 5: Solve for x
    x = 1,079,825.94/1,151.55
  6. Step 6: Final answer
    x = 937.72

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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.