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Finding the Fourth Proportional to 956.91, 1,320.09 and 563.75

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Solution

The fourth proportional to 956.91, 1,320.09 and 563.75 is: 777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.91 : 1,320.09 = 563.75 : x
  2. Step 2: Convert to fraction form
    956.91/1,320.09 = 563.75/x
  3. Step 3: Cross multiply
    956.91x = 1,320.09 × 563.75
  4. Step 4: Simplify right side
    956.91x = 744,194.14
  5. Step 5: Solve for x
    x = 744,194.14/956.91
  6. Step 6: Final answer
    x = 777.71

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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.