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Finding the Fourth Proportional to 963.10, 1,328.52 and 667.86

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Solution

The fourth proportional to 963.10, 1,328.52 and 667.86 is: 921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.10 : 1,328.52 = 667.86 : x
  2. Step 2: Convert to fraction form
    963.10/1,328.52 = 667.86/x
  3. Step 3: Cross multiply
    963.10x = 1,328.52 × 667.86
  4. Step 4: Simplify right side
    963.10x = 887,265.37
  5. Step 5: Solve for x
    x = 887,265.37/963.10
  6. Step 6: Final answer
    x = 921.26

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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.