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Finding the Fourth Proportional to 958.85, 1,323.48 and 566

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Solution

The fourth proportional to 958.85, 1,323.48 and 566 is: 781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.85 : 1,323.48 = 566 : x
  2. Step 2: Convert to fraction form
    958.85/1,323.48 = 566/x
  3. Step 3: Cross multiply
    958.85x = 1,323.48 × 566
  4. Step 4: Simplify right side
    958.85x = 749,089.68
  5. Step 5: Solve for x
    x = 749,089.68/958.85
  6. Step 6: Final answer
    x = 781.24

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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.