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Finding the Fourth Proportional to 1,170.12, 1,757 and 1,118.18

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Solution

The fourth proportional to 1,170.12, 1,757 and 1,118.18 is: 1,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.12 : 1,757 = 1,118.18 : x
  2. Step 2: Convert to fraction form
    1,170.12/1,757 = 1,118.18/x
  3. Step 3: Cross multiply
    1,170.12x = 1,757 × 1,118.18
  4. Step 4: Simplify right side
    1,170.12x = 1,964,642.26
  5. Step 5: Solve for x
    x = 1,964,642.26/1,170.12
  6. Step 6: Final answer
    x = 1,679.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.