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Finding the Fourth Proportional to 892.03, 1,230.60 and 560.29

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Solution

The fourth proportional to 892.03, 1,230.60 and 560.29 is: 772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.03 : 1,230.60 = 560.29 : x
  2. Step 2: Convert to fraction form
    892.03/1,230.60 = 560.29/x
  3. Step 3: Cross multiply
    892.03x = 1,230.60 × 560.29
  4. Step 4: Simplify right side
    892.03x = 689,492.87
  5. Step 5: Solve for x
    x = 689,492.87/892.03
  6. Step 6: Final answer
    x = 772.95

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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.