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Finding the Fourth Proportional to 978.16, 1,359.34 and 965.92

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Solution

The fourth proportional to 978.16, 1,359.34 and 965.92 is: 1,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.16 : 1,359.34 = 965.92 : x
  2. Step 2: Convert to fraction form
    978.16/1,359.34 = 965.92/x
  3. Step 3: Cross multiply
    978.16x = 1,359.34 × 965.92
  4. Step 4: Simplify right side
    978.16x = 1,313,013.69
  5. Step 5: Solve for x
    x = 1,313,013.69/978.16
  6. Step 6: Final answer
    x = 1,342.33

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.