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Finding the Fourth Proportional to 1,197.59, 1,795.77 and 808.18

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Solution

The fourth proportional to 1,197.59, 1,795.77 and 808.18 is: 1,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.59 : 1,795.77 = 808.18 : x
  2. Step 2: Convert to fraction form
    1,197.59/1,795.77 = 808.18/x
  3. Step 3: Cross multiply
    1,197.59x = 1,795.77 × 808.18
  4. Step 4: Simplify right side
    1,197.59x = 1,451,300.91
  5. Step 5: Solve for x
    x = 1,451,300.91/1,197.59
  6. Step 6: Final answer
    x = 1,211.86

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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.