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Finding the Fourth Proportional to 1,151.08, 1,588.48 and 627.12

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Solution

The fourth proportional to 1,151.08, 1,588.48 and 627.12 is: 865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.08 : 1,588.48 = 627.12 : x
  2. Step 2: Convert to fraction form
    1,151.08/1,588.48 = 627.12/x
  3. Step 3: Cross multiply
    1,151.08x = 1,588.48 × 627.12
  4. Step 4: Simplify right side
    1,151.08x = 996,167.58
  5. Step 5: Solve for x
    x = 996,167.58/1,151.08
  6. Step 6: Final answer
    x = 865.42

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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.