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Finding the Fourth Proportional to 993.68, 1,489.44 and 878.24

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Solution

The fourth proportional to 993.68, 1,489.44 and 878.24 is: 1,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.68 : 1,489.44 = 878.24 : x
  2. Step 2: Convert to fraction form
    993.68/1,489.44 = 878.24/x
  3. Step 3: Cross multiply
    993.68x = 1,489.44 × 878.24
  4. Step 4: Simplify right side
    993.68x = 1,308,085.79
  5. Step 5: Solve for x
    x = 1,308,085.79/993.68
  6. Step 6: Final answer
    x = 1,316.41

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Why These Related Problems?

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