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Finding the Fourth Proportional to 1,110.12, 1,661.70 and 813

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Solution

The fourth proportional to 1,110.12, 1,661.70 and 813 is: 1,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.12 : 1,661.70 = 813 : x
  2. Step 2: Convert to fraction form
    1,110.12/1,661.70 = 813/x
  3. Step 3: Cross multiply
    1,110.12x = 1,661.70 × 813
  4. Step 4: Simplify right side
    1,110.12x = 1,350,962.10
  5. Step 5: Solve for x
    x = 1,350,962.10/1,110.12
  6. Step 6: Final answer
    x = 1,216.95

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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.