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Finding the Fourth Proportional to 947.28, 1,306.86 and 598.20

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Solution

The fourth proportional to 947.28, 1,306.86 and 598.20 is: 825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.28 : 1,306.86 = 598.20 : x
  2. Step 2: Convert to fraction form
    947.28/1,306.86 = 598.20/x
  3. Step 3: Cross multiply
    947.28x = 1,306.86 × 598.20
  4. Step 4: Simplify right side
    947.28x = 781,763.65
  5. Step 5: Solve for x
    x = 781,763.65/947.28
  6. Step 6: Final answer
    x = 825.27

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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.