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Finding the Fourth Proportional to 1,478.89, 2,040.86 and 815.75

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Solution

The fourth proportional to 1,478.89, 2,040.86 and 815.75 is: 1,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.89 : 2,040.86 = 815.75 : x
  2. Step 2: Convert to fraction form
    1,478.89/2,040.86 = 815.75/x
  3. Step 3: Cross multiply
    1,478.89x = 2,040.86 × 815.75
  4. Step 4: Simplify right side
    1,478.89x = 1,664,834.10
  5. Step 5: Solve for x
    x = 1,664,834.10/1,478.89
  6. Step 6: Final answer
    x = 1,125.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.