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Finding the Fourth Proportional to 1,218.58, 1,827.77 and 808.01

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Solution

The fourth proportional to 1,218.58, 1,827.77 and 808.01 is: 1,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.58 : 1,827.77 = 808.01 : x
  2. Step 2: Convert to fraction form
    1,218.58/1,827.77 = 808.01/x
  3. Step 3: Cross multiply
    1,218.58x = 1,827.77 × 808.01
  4. Step 4: Simplify right side
    1,218.58x = 1,476,850.11
  5. Step 5: Solve for x
    x = 1,476,850.11/1,218.58
  6. Step 6: Final answer
    x = 1,211.95

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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.