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Finding the Fourth Proportional to 1,005.82, 1,387.23 and 808.99

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Solution

The fourth proportional to 1,005.82, 1,387.23 and 808.99 is: 1,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.82 : 1,387.23 = 808.99 : x
  2. Step 2: Convert to fraction form
    1,005.82/1,387.23 = 808.99/x
  3. Step 3: Cross multiply
    1,005.82x = 1,387.23 × 808.99
  4. Step 4: Simplify right side
    1,005.82x = 1,122,248.70
  5. Step 5: Solve for x
    x = 1,122,248.70/1,005.82
  6. Step 6: Final answer
    x = 1,115.76

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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.