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Finding the Fourth Proportional to 1,151.26, 1,588.72 and 627.28

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Solution

The fourth proportional to 1,151.26, 1,588.72 and 627.28 is: 865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.26 : 1,588.72 = 627.28 : x
  2. Step 2: Convert to fraction form
    1,151.26/1,588.72 = 627.28/x
  3. Step 3: Cross multiply
    1,151.26x = 1,588.72 × 627.28
  4. Step 4: Simplify right side
    1,151.26x = 996,572.28
  5. Step 5: Solve for x
    x = 996,572.28/1,151.26
  6. Step 6: Final answer
    x = 865.64

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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.