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Finding the Fourth Proportional to 912.32, 1,258.20 and 725.60

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Solution

The fourth proportional to 912.32, 1,258.20 and 725.60 is: 1,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.32 : 1,258.20 = 725.60 : x
  2. Step 2: Convert to fraction form
    912.32/1,258.20 = 725.60/x
  3. Step 3: Cross multiply
    912.32x = 1,258.20 × 725.60
  4. Step 4: Simplify right side
    912.32x = 912,949.92
  5. Step 5: Solve for x
    x = 912,949.92/912.32
  6. Step 6: Final answer
    x = 1,000.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.