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Finding the Fourth Proportional to 968.28, 1,451.58 and 390.78

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Solution

The fourth proportional to 968.28, 1,451.58 and 390.78 is: 585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.28 : 1,451.58 = 390.78 : x
  2. Step 2: Convert to fraction form
    968.28/1,451.58 = 390.78/x
  3. Step 3: Cross multiply
    968.28x = 1,451.58 × 390.78
  4. Step 4: Simplify right side
    968.28x = 567,248.43
  5. Step 5: Solve for x
    x = 567,248.43/968.28
  6. Step 6: Final answer
    x = 585.83

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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.