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Finding the Fourth Proportional to 681.24, 1,023.20 and 583.70

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Solution

The fourth proportional to 681.24, 1,023.20 and 583.70 is: 876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.24 : 1,023.20 = 583.70 : x
  2. Step 2: Convert to fraction form
    681.24/1,023.20 = 583.70/x
  3. Step 3: Cross multiply
    681.24x = 1,023.20 × 583.70
  4. Step 4: Simplify right side
    681.24x = 597,241.84
  5. Step 5: Solve for x
    x = 597,241.84/681.24
  6. Step 6: Final answer
    x = 876.70

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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.