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Finding the Fourth Proportional to 1,478.80, 2,040.75 and 815.64

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Solution

The fourth proportional to 1,478.80, 2,040.75 and 815.64 is: 1,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.80 : 2,040.75 = 815.64 : x
  2. Step 2: Convert to fraction form
    1,478.80/2,040.75 = 815.64/x
  3. Step 3: Cross multiply
    1,478.80x = 2,040.75 × 815.64
  4. Step 4: Simplify right side
    1,478.80x = 1,664,517.33
  5. Step 5: Solve for x
    x = 1,664,517.33/1,478.80
  6. Step 6: Final answer
    x = 1,125.59

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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.