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Finding the Fourth Proportional to 947.88, 1,306.32 and 781.08

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Solution

The fourth proportional to 947.88, 1,306.32 and 781.08 is: 1,076.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.88 : 1,306.32 = 781.08 : x
  2. Step 2: Convert to fraction form
    947.88/1,306.32 = 781.08/x
  3. Step 3: Cross multiply
    947.88x = 1,306.32 × 781.08
  4. Step 4: Simplify right side
    947.88x = 1,020,340.43
  5. Step 5: Solve for x
    x = 1,020,340.43/947.88
  6. Step 6: Final answer
    x = 1,076.44

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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.