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Finding the Fourth Proportional to 1,163.16, 1,753.11 and 1,113.75

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Solution

The fourth proportional to 1,163.16, 1,753.11 and 1,113.75 is: 1,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.16 : 1,753.11 = 1,113.75 : x
  2. Step 2: Convert to fraction form
    1,163.16/1,753.11 = 1,113.75/x
  3. Step 3: Cross multiply
    1,163.16x = 1,753.11 × 1,113.75
  4. Step 4: Simplify right side
    1,163.16x = 1,952,526.26
  5. Step 5: Solve for x
    x = 1,952,526.26/1,163.16
  6. Step 6: Final answer
    x = 1,678.64

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