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Finding the Fourth Proportional to 1,182.71, 1,772.49 and 627.30

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Solution

The fourth proportional to 1,182.71, 1,772.49 and 627.30 is: 940.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.71 : 1,772.49 = 627.30 : x
  2. Step 2: Convert to fraction form
    1,182.71/1,772.49 = 627.30/x
  3. Step 3: Cross multiply
    1,182.71x = 1,772.49 × 627.30
  4. Step 4: Simplify right side
    1,182.71x = 1,111,882.98
  5. Step 5: Solve for x
    x = 1,111,882.98/1,182.71
  6. Step 6: Final answer
    x = 940.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.