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Finding the Fourth Proportional to 974.64, 1,452.68 and 919.96

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Solution

The fourth proportional to 974.64, 1,452.68 and 919.96 is: 1,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.64 : 1,452.68 = 919.96 : x
  2. Step 2: Convert to fraction form
    974.64/1,452.68 = 919.96/x
  3. Step 3: Cross multiply
    974.64x = 1,452.68 × 919.96
  4. Step 4: Simplify right side
    974.64x = 1,336,407.49
  5. Step 5: Solve for x
    x = 1,336,407.49/974.64
  6. Step 6: Final answer
    x = 1,371.18

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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.