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Finding the Fourth Proportional to 1,002.30, 1,383.14 and 560.21

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Solution

The fourth proportional to 1,002.30, 1,383.14 and 560.21 is: 773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.30 : 1,383.14 = 560.21 : x
  2. Step 2: Convert to fraction form
    1,002.30/1,383.14 = 560.21/x
  3. Step 3: Cross multiply
    1,002.30x = 1,383.14 × 560.21
  4. Step 4: Simplify right side
    1,002.30x = 774,845.38
  5. Step 5: Solve for x
    x = 774,845.38/1,002.30
  6. Step 6: Final answer
    x = 773.07

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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.