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Finding the Fourth Proportional to 1,002.84, 1,383.88 and 560.73

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Solution

The fourth proportional to 1,002.84, 1,383.88 and 560.73 is: 773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.84 : 1,383.88 = 560.73 : x
  2. Step 2: Convert to fraction form
    1,002.84/1,383.88 = 560.73/x
  3. Step 3: Cross multiply
    1,002.84x = 1,383.88 × 560.73
  4. Step 4: Simplify right side
    1,002.84x = 775,983.03
  5. Step 5: Solve for x
    x = 775,983.03/1,002.84
  6. Step 6: Final answer
    x = 773.79

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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.