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Finding the Fourth Proportional to 1,207.01, 1,801.77 and 1,116.83

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Solution

The fourth proportional to 1,207.01, 1,801.77 and 1,116.83 is: 1,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.01 : 1,801.77 = 1,116.83 : x
  2. Step 2: Convert to fraction form
    1,207.01/1,801.77 = 1,116.83/x
  3. Step 3: Cross multiply
    1,207.01x = 1,801.77 × 1,116.83
  4. Step 4: Simplify right side
    1,207.01x = 2,012,265.20
  5. Step 5: Solve for x
    x = 2,012,265.20/1,207.01
  6. Step 6: Final answer
    x = 1,667.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.