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Finding the Fourth Proportional to 1,398.96, 2,096.30 and 814.14

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Solution

The fourth proportional to 1,398.96, 2,096.30 and 814.14 is: 1,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.96 : 2,096.30 = 814.14 : x
  2. Step 2: Convert to fraction form
    1,398.96/2,096.30 = 814.14/x
  3. Step 3: Cross multiply
    1,398.96x = 2,096.30 × 814.14
  4. Step 4: Simplify right side
    1,398.96x = 1,706,677.61
  5. Step 5: Solve for x
    x = 1,706,677.61/1,398.96
  6. Step 6: Final answer
    x = 1,219.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.