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Finding the Fourth Proportional to 958.22, 1,322.16 and 565.10

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Solution

The fourth proportional to 958.22, 1,322.16 and 565.10 is: 779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.22 : 1,322.16 = 565.10 : x
  2. Step 2: Convert to fraction form
    958.22/1,322.16 = 565.10/x
  3. Step 3: Cross multiply
    958.22x = 1,322.16 × 565.10
  4. Step 4: Simplify right side
    958.22x = 747,152.62
  5. Step 5: Solve for x
    x = 747,152.62/958.22
  6. Step 6: Final answer
    x = 779.73

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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.