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Finding the Fourth Proportional to 972.28, 1,456.62 and 683.56

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Solution

The fourth proportional to 972.28, 1,456.62 and 683.56 is: 1,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.28 : 1,456.62 = 683.56 : x
  2. Step 2: Convert to fraction form
    972.28/1,456.62 = 683.56/x
  3. Step 3: Cross multiply
    972.28x = 1,456.62 × 683.56
  4. Step 4: Simplify right side
    972.28x = 995,687.17
  5. Step 5: Solve for x
    x = 995,687.17/972.28
  6. Step 6: Final answer
    x = 1,024.07

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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.