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Finding the Fourth Proportional to 974.52, 1,452.78 and 896.76

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Solution

The fourth proportional to 974.52, 1,452.78 and 896.76 is: 1,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.52 : 1,452.78 = 896.76 : x
  2. Step 2: Convert to fraction form
    974.52/1,452.78 = 896.76/x
  3. Step 3: Cross multiply
    974.52x = 1,452.78 × 896.76
  4. Step 4: Simplify right side
    974.52x = 1,302,794.99
  5. Step 5: Solve for x
    x = 1,302,794.99/974.52
  6. Step 6: Final answer
    x = 1,336.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.