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Finding the Fourth Proportional to 978.68, 1,460.90 and 959.24

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Solution

The fourth proportional to 978.68, 1,460.90 and 959.24 is: 1,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.68 : 1,460.90 = 959.24 : x
  2. Step 2: Convert to fraction form
    978.68/1,460.90 = 959.24/x
  3. Step 3: Cross multiply
    978.68x = 1,460.90 × 959.24
  4. Step 4: Simplify right side
    978.68x = 1,401,353.72
  5. Step 5: Solve for x
    x = 1,401,353.72/978.68
  6. Step 6: Final answer
    x = 1,431.88

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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.