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Finding the Fourth Proportional to 956.60, 1,320.23 and 563.66

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Solution

The fourth proportional to 956.60, 1,320.23 and 563.66 is: 777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.60 : 1,320.23 = 563.66 : x
  2. Step 2: Convert to fraction form
    956.60/1,320.23 = 563.66/x
  3. Step 3: Cross multiply
    956.60x = 1,320.23 × 563.66
  4. Step 4: Simplify right side
    956.60x = 744,160.84
  5. Step 5: Solve for x
    x = 744,160.84/956.60
  6. Step 6: Final answer
    x = 777.92

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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.