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Finding the Fourth Proportional to 891.83, 1,230.33 and 560.43

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Solution

The fourth proportional to 891.83, 1,230.33 and 560.43 is: 773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.83 : 1,230.33 = 560.43 : x
  2. Step 2: Convert to fraction form
    891.83/1,230.33 = 560.43/x
  3. Step 3: Cross multiply
    891.83x = 1,230.33 × 560.43
  4. Step 4: Simplify right side
    891.83x = 689,513.84
  5. Step 5: Solve for x
    x = 689,513.84/891.83
  6. Step 6: Final answer
    x = 773.15

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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.