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Finding the Fourth Proportional to 958.46, 1,322.64 and 565.45

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Solution

The fourth proportional to 958.46, 1,322.64 and 565.45 is: 780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.46 : 1,322.64 = 565.45 : x
  2. Step 2: Convert to fraction form
    958.46/1,322.64 = 565.45/x
  3. Step 3: Cross multiply
    958.46x = 1,322.64 × 565.45
  4. Step 4: Simplify right side
    958.46x = 747,883.48
  5. Step 5: Solve for x
    x = 747,883.48/958.46
  6. Step 6: Final answer
    x = 780.30

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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.