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Finding the Fourth Proportional to 958.83, 1,323.18 and 560.77

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Solution

The fourth proportional to 958.83, 1,323.18 and 560.77 is: 773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.83 : 1,323.18 = 560.77 : x
  2. Step 2: Convert to fraction form
    958.83/1,323.18 = 560.77/x
  3. Step 3: Cross multiply
    958.83x = 1,323.18 × 560.77
  4. Step 4: Simplify right side
    958.83x = 741,999.65
  5. Step 5: Solve for x
    x = 741,999.65/958.83
  6. Step 6: Final answer
    x = 773.86

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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.