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Finding the Fourth Proportional to 958.94, 1,323.24 and 565.90

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Solution

The fourth proportional to 958.94, 1,323.24 and 565.90 is: 780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.94 : 1,323.24 = 565.90 : x
  2. Step 2: Convert to fraction form
    958.94/1,323.24 = 565.90/x
  3. Step 3: Cross multiply
    958.94x = 1,323.24 × 565.90
  4. Step 4: Simplify right side
    958.94x = 748,821.52
  5. Step 5: Solve for x
    x = 748,821.52/958.94
  6. Step 6: Final answer
    x = 780.88

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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.