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Finding the Fourth Proportional to 1,002.53, 1,383.45 and 560.41

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Solution

The fourth proportional to 1,002.53, 1,383.45 and 560.41 is: 773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.53 : 1,383.45 = 560.41 : x
  2. Step 2: Convert to fraction form
    1,002.53/1,383.45 = 560.41/x
  3. Step 3: Cross multiply
    1,002.53x = 1,383.45 × 560.41
  4. Step 4: Simplify right side
    1,002.53x = 775,299.21
  5. Step 5: Solve for x
    x = 775,299.21/1,002.53
  6. Step 6: Final answer
    x = 773.34

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Why These Related Problems?

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