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Finding the Fourth Proportional to 1,177.27, 1,624.91 and 680.20

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Solution

The fourth proportional to 1,177.27, 1,624.91 and 680.20 is: 938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.27 : 1,624.91 = 680.20 : x
  2. Step 2: Convert to fraction form
    1,177.27/1,624.91 = 680.20/x
  3. Step 3: Cross multiply
    1,177.27x = 1,624.91 × 680.20
  4. Step 4: Simplify right side
    1,177.27x = 1,105,256.32
  5. Step 5: Solve for x
    x = 1,105,256.32/1,177.27
  6. Step 6: Final answer
    x = 938.83

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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.