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Finding the Fourth Proportional to 1,162.72, 1,745.70 and 1,016.20

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Solution

The fourth proportional to 1,162.72, 1,745.70 and 1,016.20 is: 1,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.72 : 1,745.70 = 1,016.20 : x
  2. Step 2: Convert to fraction form
    1,162.72/1,745.70 = 1,016.20/x
  3. Step 3: Cross multiply
    1,162.72x = 1,745.70 × 1,016.20
  4. Step 4: Simplify right side
    1,162.72x = 1,773,980.34
  5. Step 5: Solve for x
    x = 1,773,980.34/1,162.72
  6. Step 6: Final answer
    x = 1,525.72

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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.