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Finding the Fourth Proportional to 972.28, 1,455.78 and 678.92

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Solution

The fourth proportional to 972.28, 1,455.78 and 678.92 is: 1,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.28 : 1,455.78 = 678.92 : x
  2. Step 2: Convert to fraction form
    972.28/1,455.78 = 678.92/x
  3. Step 3: Cross multiply
    972.28x = 1,455.78 × 678.92
  4. Step 4: Simplify right side
    972.28x = 988,358.16
  5. Step 5: Solve for x
    x = 988,358.16/972.28
  6. Step 6: Final answer
    x = 1,016.54

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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.