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Finding the Fourth Proportional to 1,482.93, 2,046.53 and 819.85

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Solution

The fourth proportional to 1,482.93, 2,046.53 and 819.85 is: 1,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.93 : 2,046.53 = 819.85 : x
  2. Step 2: Convert to fraction form
    1,482.93/2,046.53 = 819.85/x
  3. Step 3: Cross multiply
    1,482.93x = 2,046.53 × 819.85
  4. Step 4: Simplify right side
    1,482.93x = 1,677,833.29
  5. Step 5: Solve for x
    x = 1,677,833.29/1,482.93
  6. Step 6: Final answer
    x = 1,131.43

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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.