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Finding the Fourth Proportional to 932.47, 1,287.32 and 617.63

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Solution

The fourth proportional to 932.47, 1,287.32 and 617.63 is: 852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.47 : 1,287.32 = 617.63 : x
  2. Step 2: Convert to fraction form
    932.47/1,287.32 = 617.63/x
  3. Step 3: Cross multiply
    932.47x = 1,287.32 × 617.63
  4. Step 4: Simplify right side
    932.47x = 795,077.93
  5. Step 5: Solve for x
    x = 795,077.93/932.47
  6. Step 6: Final answer
    x = 852.66

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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.