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Finding the Fourth Proportional to 1,478.01, 2,039.72 and 814.85

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Solution

The fourth proportional to 1,478.01, 2,039.72 and 814.85 is: 1,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.01 : 2,039.72 = 814.85 : x
  2. Step 2: Convert to fraction form
    1,478.01/2,039.72 = 814.85/x
  3. Step 3: Cross multiply
    1,478.01x = 2,039.72 × 814.85
  4. Step 4: Simplify right side
    1,478.01x = 1,662,065.84
  5. Step 5: Solve for x
    x = 1,662,065.84/1,478.01
  6. Step 6: Final answer
    x = 1,124.53

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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.