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Finding the Fourth Proportional to 1,162.53, 1,742.49 and 613.53

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Solution

The fourth proportional to 1,162.53, 1,742.49 and 613.53 is: 919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.53 : 1,742.49 = 613.53 : x
  2. Step 2: Convert to fraction form
    1,162.53/1,742.49 = 613.53/x
  3. Step 3: Cross multiply
    1,162.53x = 1,742.49 × 613.53
  4. Step 4: Simplify right side
    1,162.53x = 1,069,069.89
  5. Step 5: Solve for x
    x = 1,069,069.89/1,162.53
  6. Step 6: Final answer
    x = 919.61

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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.