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Finding the Fourth Proportional to 912.56, 1,258.80 and 563

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Solution

The fourth proportional to 912.56, 1,258.80 and 563 is: 776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.56 : 1,258.80 = 563 : x
  2. Step 2: Convert to fraction form
    912.56/1,258.80 = 563/x
  3. Step 3: Cross multiply
    912.56x = 1,258.80 × 563
  4. Step 4: Simplify right side
    912.56x = 708,704.40
  5. Step 5: Solve for x
    x = 708,704.40/912.56
  6. Step 6: Final answer
    x = 776.61

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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.