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Finding the Fourth Proportional to 986.05, 1,478.49 and 870.76

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Solution

The fourth proportional to 986.05, 1,478.49 and 870.76 is: 1,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.05 : 1,478.49 = 870.76 : x
  2. Step 2: Convert to fraction form
    986.05/1,478.49 = 870.76/x
  3. Step 3: Cross multiply
    986.05x = 1,478.49 × 870.76
  4. Step 4: Simplify right side
    986.05x = 1,287,409.95
  5. Step 5: Solve for x
    x = 1,287,409.95/986.05
  6. Step 6: Final answer
    x = 1,305.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.