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Finding the Fourth Proportional to 1,478.12, 2,039.84 and 814.96

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Solution

The fourth proportional to 1,478.12, 2,039.84 and 814.96 is: 1,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.12 : 2,039.84 = 814.96 : x
  2. Step 2: Convert to fraction form
    1,478.12/2,039.84 = 814.96/x
  3. Step 3: Cross multiply
    1,478.12x = 2,039.84 × 814.96
  4. Step 4: Simplify right side
    1,478.12x = 1,662,388.01
  5. Step 5: Solve for x
    x = 1,662,388.01/1,478.12
  6. Step 6: Final answer
    x = 1,124.66

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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.