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Finding the Fourth Proportional to 1,397.93, 1,929.11 and 808.56

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Solution

The fourth proportional to 1,397.93, 1,929.11 and 808.56 is: 1,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.93 : 1,929.11 = 808.56 : x
  2. Step 2: Convert to fraction form
    1,397.93/1,929.11 = 808.56/x
  3. Step 3: Cross multiply
    1,397.93x = 1,929.11 × 808.56
  4. Step 4: Simplify right side
    1,397.93x = 1,559,797.14
  5. Step 5: Solve for x
    x = 1,559,797.14/1,397.93
  6. Step 6: Final answer
    x = 1,115.79

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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.