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Finding the Fourth Proportional to 1,002.29, 1,383.20 and 560.22

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Solution

The fourth proportional to 1,002.29, 1,383.20 and 560.22 is: 773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.29 : 1,383.20 = 560.22 : x
  2. Step 2: Convert to fraction form
    1,002.29/1,383.20 = 560.22/x
  3. Step 3: Cross multiply
    1,002.29x = 1,383.20 × 560.22
  4. Step 4: Simplify right side
    1,002.29x = 774,893.50
  5. Step 5: Solve for x
    x = 774,893.50/1,002.29
  6. Step 6: Final answer
    x = 773.13

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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.