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Finding the Fourth Proportional to 860.76, 1,291.24 and 495.55

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Solution

The fourth proportional to 860.76, 1,291.24 and 495.55 is: 743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.76 : 1,291.24 = 495.55 : x
  2. Step 2: Convert to fraction form
    860.76/1,291.24 = 495.55/x
  3. Step 3: Cross multiply
    860.76x = 1,291.24 × 495.55
  4. Step 4: Simplify right side
    860.76x = 639,873.98
  5. Step 5: Solve for x
    x = 639,873.98/860.76
  6. Step 6: Final answer
    x = 743.38

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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.