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Finding the Fourth Proportional to 956.78, 1,320.28 and 563.72

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Solution

The fourth proportional to 956.78, 1,320.28 and 563.72 is: 777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.78 : 1,320.28 = 563.72 : x
  2. Step 2: Convert to fraction form
    956.78/1,320.28 = 563.72/x
  3. Step 3: Cross multiply
    956.78x = 1,320.28 × 563.72
  4. Step 4: Simplify right side
    956.78x = 744,268.24
  5. Step 5: Solve for x
    x = 744,268.24/956.78
  6. Step 6: Final answer
    x = 777.89

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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.