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Finding the Fourth Proportional to 1,151.32, 1,588.86 and 627.37

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Solution

The fourth proportional to 1,151.32, 1,588.86 and 627.37 is: 865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.32 : 1,588.86 = 627.37 : x
  2. Step 2: Convert to fraction form
    1,151.32/1,588.86 = 627.37/x
  3. Step 3: Cross multiply
    1,151.32x = 1,588.86 × 627.37
  4. Step 4: Simplify right side
    1,151.32x = 996,803.10
  5. Step 5: Solve for x
    x = 996,803.10/1,151.32
  6. Step 6: Final answer
    x = 865.79

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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.