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Finding the Fourth Proportional to 958.20, 1,322.66 and 565.20

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Solution

The fourth proportional to 958.20, 1,322.66 and 565.20 is: 780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.20 : 1,322.66 = 565.20 : x
  2. Step 2: Convert to fraction form
    958.20/1,322.66 = 565.20/x
  3. Step 3: Cross multiply
    958.20x = 1,322.66 × 565.20
  4. Step 4: Simplify right side
    958.20x = 747,567.43
  5. Step 5: Solve for x
    x = 747,567.43/958.20
  6. Step 6: Final answer
    x = 780.18

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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.