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Finding the Fourth Proportional to 933.75, 1,288.25 and 560.85

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Solution

The fourth proportional to 933.75, 1,288.25 and 560.85 is: 773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.75 : 1,288.25 = 560.85 : x
  2. Step 2: Convert to fraction form
    933.75/1,288.25 = 560.85/x
  3. Step 3: Cross multiply
    933.75x = 1,288.25 × 560.85
  4. Step 4: Simplify right side
    933.75x = 722,505.77
  5. Step 5: Solve for x
    x = 722,505.77/933.75
  6. Step 6: Final answer
    x = 773.77

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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.