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Finding the Fourth Proportional to 1,474.92, 2,035.42 and 811.80

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Solution

The fourth proportional to 1,474.92, 2,035.42 and 811.80 is: 1,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.92 : 2,035.42 = 811.80 : x
  2. Step 2: Convert to fraction form
    1,474.92/2,035.42 = 811.80/x
  3. Step 3: Cross multiply
    1,474.92x = 2,035.42 × 811.80
  4. Step 4: Simplify right side
    1,474.92x = 1,652,353.96
  5. Step 5: Solve for x
    x = 1,652,353.96/1,474.92
  6. Step 6: Final answer
    x = 1,120.30

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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.