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Finding the Fourth Proportional to 958.08, 1,322.26 and 565.14

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Solution

The fourth proportional to 958.08, 1,322.26 and 565.14 is: 779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.08 : 1,322.26 = 565.14 : x
  2. Step 2: Convert to fraction form
    958.08/1,322.26 = 565.14/x
  3. Step 3: Cross multiply
    958.08x = 1,322.26 × 565.14
  4. Step 4: Simplify right side
    958.08x = 747,262.02
  5. Step 5: Solve for x
    x = 747,262.02/958.08
  6. Step 6: Final answer
    x = 779.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.