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Finding the Fourth Proportional to 932.69, 1,287.09 and 513.04

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Solution

The fourth proportional to 932.69, 1,287.09 and 513.04 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.69 : 1,287.09 = 513.04 : x
  2. Step 2: Convert to fraction form
    932.69/1,287.09 = 513.04/x
  3. Step 3: Cross multiply
    932.69x = 1,287.09 × 513.04
  4. Step 4: Simplify right side
    932.69x = 660,326.09
  5. Step 5: Solve for x
    x = 660,326.09/932.69
  6. Step 6: Final answer
    x = 707.98

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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.