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Finding the Fourth Proportional to 717.82, 1,077.20 and 393.42

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Solution

The fourth proportional to 717.82, 1,077.20 and 393.42 is: 590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.82 : 1,077.20 = 393.42 : x
  2. Step 2: Convert to fraction form
    717.82/1,077.20 = 393.42/x
  3. Step 3: Cross multiply
    717.82x = 1,077.20 × 393.42
  4. Step 4: Simplify right side
    717.82x = 423,792.02
  5. Step 5: Solve for x
    x = 423,792.02/717.82
  6. Step 6: Final answer
    x = 590.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.