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Finding the Fourth Proportional to 1,478.27, 2,040.08 and 815.18

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Solution

The fourth proportional to 1,478.27, 2,040.08 and 815.18 is: 1,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.27 : 2,040.08 = 815.18 : x
  2. Step 2: Convert to fraction form
    1,478.27/2,040.08 = 815.18/x
  3. Step 3: Cross multiply
    1,478.27x = 2,040.08 × 815.18
  4. Step 4: Simplify right side
    1,478.27x = 1,663,032.41
  5. Step 5: Solve for x
    x = 1,663,032.41/1,478.27
  6. Step 6: Final answer
    x = 1,124.99

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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.