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Finding the Fourth Proportional to 910.56, 1,255.86 and 677.28

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Solution

The fourth proportional to 910.56, 1,255.86 and 677.28 is: 934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.56 : 1,255.86 = 677.28 : x
  2. Step 2: Convert to fraction form
    910.56/1,255.86 = 677.28/x
  3. Step 3: Cross multiply
    910.56x = 1,255.86 × 677.28
  4. Step 4: Simplify right side
    910.56x = 850,568.86
  5. Step 5: Solve for x
    x = 850,568.86/910.56
  6. Step 6: Final answer
    x = 934.12

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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.