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Finding the Fourth Proportional to 956.62, 1,320.31 and 563.66

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Solution

The fourth proportional to 956.62, 1,320.31 and 563.66 is: 777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.62 : 1,320.31 = 563.66 : x
  2. Step 2: Convert to fraction form
    956.62/1,320.31 = 563.66/x
  3. Step 3: Cross multiply
    956.62x = 1,320.31 × 563.66
  4. Step 4: Simplify right side
    956.62x = 744,205.93
  5. Step 5: Solve for x
    x = 744,205.93/956.62
  6. Step 6: Final answer
    x = 777.95

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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.