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Finding the Fourth Proportional to 1,478.50, 2,040.29 and 815.32

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Solution

The fourth proportional to 1,478.50, 2,040.29 and 815.32 is: 1,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.50 : 2,040.29 = 815.32 : x
  2. Step 2: Convert to fraction form
    1,478.50/2,040.29 = 815.32/x
  3. Step 3: Cross multiply
    1,478.50x = 2,040.29 × 815.32
  4. Step 4: Simplify right side
    1,478.50x = 1,663,479.30
  5. Step 5: Solve for x
    x = 1,663,479.30/1,478.50
  6. Step 6: Final answer
    x = 1,125.11

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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.