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Finding the Fourth Proportional to 932.83, 1,287.23 and 513.17

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Solution

The fourth proportional to 932.83, 1,287.23 and 513.17 is: 708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.83 : 1,287.23 = 513.17 : x
  2. Step 2: Convert to fraction form
    932.83/1,287.23 = 513.17/x
  3. Step 3: Cross multiply
    932.83x = 1,287.23 × 513.17
  4. Step 4: Simplify right side
    932.83x = 660,567.82
  5. Step 5: Solve for x
    x = 660,567.82/932.83
  6. Step 6: Final answer
    x = 708.13

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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.