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Finding the Fourth Proportional to 932.74, 1,287.25 and 617.46

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Solution

The fourth proportional to 932.74, 1,287.25 and 617.46 is: 852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.74 : 1,287.25 = 617.46 : x
  2. Step 2: Convert to fraction form
    932.74/1,287.25 = 617.46/x
  3. Step 3: Cross multiply
    932.74x = 1,287.25 × 617.46
  4. Step 4: Simplify right side
    932.74x = 794,827.06
  5. Step 5: Solve for x
    x = 794,827.06/932.74
  6. Step 6: Final answer
    x = 852.14

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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.