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Finding the Fourth Proportional to 1,151.48, 1,589.05 and 627.51

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Solution

The fourth proportional to 1,151.48, 1,589.05 and 627.51 is: 865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.48 : 1,589.05 = 627.51 : x
  2. Step 2: Convert to fraction form
    1,151.48/1,589.05 = 627.51/x
  3. Step 3: Cross multiply
    1,151.48x = 1,589.05 × 627.51
  4. Step 4: Simplify right side
    1,151.48x = 997,146.52
  5. Step 5: Solve for x
    x = 997,146.52/1,151.48
  6. Step 6: Final answer
    x = 865.97

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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.