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Finding the Fourth Proportional to 1,151.18, 1,588.62 and 627.20

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Solution

The fourth proportional to 1,151.18, 1,588.62 and 627.20 is: 865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.18 : 1,588.62 = 627.20 : x
  2. Step 2: Convert to fraction form
    1,151.18/1,588.62 = 627.20/x
  3. Step 3: Cross multiply
    1,151.18x = 1,588.62 × 627.20
  4. Step 4: Simplify right side
    1,151.18x = 996,374.52
  5. Step 5: Solve for x
    x = 996,374.52/1,151.18
  6. Step 6: Final answer
    x = 865.53

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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.