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Finding the Fourth Proportional to 958.74, 1,323 and 565.70

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Solution

The fourth proportional to 958.74, 1,323 and 565.70 is: 780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.74 : 1,323 = 565.70 : x
  2. Step 2: Convert to fraction form
    958.74/1,323 = 565.70/x
  3. Step 3: Cross multiply
    958.74x = 1,323 × 565.70
  4. Step 4: Simplify right side
    958.74x = 748,414.49
  5. Step 5: Solve for x
    x = 748,414.49/958.74
  6. Step 6: Final answer
    x = 780.62

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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.