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Finding the Fourth Proportional to 1,162.72, 1,742.52 and 613.72

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Solution

The fourth proportional to 1,162.72, 1,742.52 and 613.72 is: 919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.72 : 1,742.52 = 613.72 : x
  2. Step 2: Convert to fraction form
    1,162.72/1,742.52 = 613.72/x
  3. Step 3: Cross multiply
    1,162.72x = 1,742.52 × 613.72
  4. Step 4: Simplify right side
    1,162.72x = 1,069,419.37
  5. Step 5: Solve for x
    x = 1,069,419.37/1,162.72
  6. Step 6: Final answer
    x = 919.76

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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.