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Finding the Fourth Proportional to 958.29, 1,322.46 and 565.32

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Solution

The fourth proportional to 958.29, 1,322.46 and 565.32 is: 780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.29 : 1,322.46 = 565.32 : x
  2. Step 2: Convert to fraction form
    958.29/1,322.46 = 565.32/x
  3. Step 3: Cross multiply
    958.29x = 1,322.46 × 565.32
  4. Step 4: Simplify right side
    958.29x = 747,613.09
  5. Step 5: Solve for x
    x = 747,613.09/958.29
  6. Step 6: Final answer
    x = 780.15

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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.