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Finding the Fourth Proportional to 958.71, 1,322.71 and 565.66

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Solution

The fourth proportional to 958.71, 1,322.71 and 565.66 is: 780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.71 : 1,322.71 = 565.66 : x
  2. Step 2: Convert to fraction form
    958.71/1,322.71 = 565.66/x
  3. Step 3: Cross multiply
    958.71x = 1,322.71 × 565.66
  4. Step 4: Simplify right side
    958.71x = 748,199.42
  5. Step 5: Solve for x
    x = 748,199.42/958.71
  6. Step 6: Final answer
    x = 780.42

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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.