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Finding the Fourth Proportional to 932.04, 1,286.26 and 518.04

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Solution

The fourth proportional to 932.04, 1,286.26 and 518.04 is: 714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.04 : 1,286.26 = 518.04 : x
  2. Step 2: Convert to fraction form
    932.04/1,286.26 = 518.04/x
  3. Step 3: Cross multiply
    932.04x = 1,286.26 × 518.04
  4. Step 4: Simplify right side
    932.04x = 666,334.13
  5. Step 5: Solve for x
    x = 666,334.13/932.04
  6. Step 6: Final answer
    x = 714.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.