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Finding the Fourth Proportional to 1,156.20, 1,731.09 and 808.74

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Solution

The fourth proportional to 1,156.20, 1,731.09 and 808.74 is: 1,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.20 : 1,731.09 = 808.74 : x
  2. Step 2: Convert to fraction form
    1,156.20/1,731.09 = 808.74/x
  3. Step 3: Cross multiply
    1,156.20x = 1,731.09 × 808.74
  4. Step 4: Simplify right side
    1,156.20x = 1,400,001.73
  5. Step 5: Solve for x
    x = 1,400,001.73/1,156.20
  6. Step 6: Final answer
    x = 1,210.86

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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.