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Finding the Fourth Proportional to 986.92, 1,478.58 and 693.76

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Solution

The fourth proportional to 986.92, 1,478.58 and 693.76 is: 1,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.92 : 1,478.58 = 693.76 : x
  2. Step 2: Convert to fraction form
    986.92/1,478.58 = 693.76/x
  3. Step 3: Cross multiply
    986.92x = 1,478.58 × 693.76
  4. Step 4: Simplify right side
    986.92x = 1,025,779.66
  5. Step 5: Solve for x
    x = 1,025,779.66/986.92
  6. Step 6: Final answer
    x = 1,039.37

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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.