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Finding the Fourth Proportional to 932.90, 1,287.39 and 513.29

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Solution

The fourth proportional to 932.90, 1,287.39 and 513.29 is: 708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.90 : 1,287.39 = 513.29 : x
  2. Step 2: Convert to fraction form
    932.90/1,287.39 = 513.29/x
  3. Step 3: Cross multiply
    932.90x = 1,287.39 × 513.29
  4. Step 4: Simplify right side
    932.90x = 660,797.98
  5. Step 5: Solve for x
    x = 660,797.98/932.90
  6. Step 6: Final answer
    x = 708.33

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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.