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Finding the Fourth Proportional to 1,016.92, 1,524.36 and 400.39

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Solution

The fourth proportional to 1,016.92, 1,524.36 and 400.39 is: 600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.92 : 1,524.36 = 400.39 : x
  2. Step 2: Convert to fraction form
    1,016.92/1,524.36 = 400.39/x
  3. Step 3: Cross multiply
    1,016.92x = 1,524.36 × 400.39
  4. Step 4: Simplify right side
    1,016.92x = 610,333.19
  5. Step 5: Solve for x
    x = 610,333.19/1,016.92
  6. Step 6: Final answer
    x = 600.18

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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.