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Finding the Fourth Proportional to 958.20, 1,321.88 and 565.04

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Solution

The fourth proportional to 958.20, 1,321.88 and 565.04 is: 779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.20 : 1,321.88 = 565.04 : x
  2. Step 2: Convert to fraction form
    958.20/1,321.88 = 565.04/x
  3. Step 3: Cross multiply
    958.20x = 1,321.88 × 565.04
  4. Step 4: Simplify right side
    958.20x = 746,915.08
  5. Step 5: Solve for x
    x = 746,915.08/958.20
  6. Step 6: Final answer
    x = 779.50

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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.