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Finding the Fourth Proportional to 974.20, 1,460.78 and 627.46

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Solution

The fourth proportional to 974.20, 1,460.78 and 627.46 is: 940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.20 : 1,460.78 = 627.46 : x
  2. Step 2: Convert to fraction form
    974.20/1,460.78 = 627.46/x
  3. Step 3: Cross multiply
    974.20x = 1,460.78 × 627.46
  4. Step 4: Simplify right side
    974.20x = 916,581.02
  5. Step 5: Solve for x
    x = 916,581.02/974.20
  6. Step 6: Final answer
    x = 940.86

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1.5x scale

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.