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Finding the Fourth Proportional to 1,182.78, 1,632.36 and 717.30

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Solution

The fourth proportional to 1,182.78, 1,632.36 and 717.30 is: 989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.78 : 1,632.36 = 717.30 : x
  2. Step 2: Convert to fraction form
    1,182.78/1,632.36 = 717.30/x
  3. Step 3: Cross multiply
    1,182.78x = 1,632.36 × 717.30
  4. Step 4: Simplify right side
    1,182.78x = 1,170,891.83
  5. Step 5: Solve for x
    x = 1,170,891.83/1,182.78
  6. Step 6: Final answer
    x = 989.95

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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.