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Finding the Fourth Proportional to 808.77, 1,218.15 and 769.89

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Solution

The fourth proportional to 808.77, 1,218.15 and 769.89 is: 1,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.77 : 1,218.15 = 769.89 : x
  2. Step 2: Convert to fraction form
    808.77/1,218.15 = 769.89/x
  3. Step 3: Cross multiply
    808.77x = 1,218.15 × 769.89
  4. Step 4: Simplify right side
    808.77x = 937,841.50
  5. Step 5: Solve for x
    x = 937,841.50/808.77
  6. Step 6: Final answer
    x = 1,159.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.