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Finding the Fourth Proportional to 986.23, 1,471.71 and 877.15

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Solution

The fourth proportional to 986.23, 1,471.71 and 877.15 is: 1,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.23 : 1,471.71 = 877.15 : x
  2. Step 2: Convert to fraction form
    986.23/1,471.71 = 877.15/x
  3. Step 3: Cross multiply
    986.23x = 1,471.71 × 877.15
  4. Step 4: Simplify right side
    986.23x = 1,290,910.43
  5. Step 5: Solve for x
    x = 1,290,910.43/986.23
  6. Step 6: Final answer
    x = 1,308.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.