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Finding the Fourth Proportional to 1,165.06, 1,739.29 and 1,012.18

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Solution

The fourth proportional to 1,165.06, 1,739.29 and 1,012.18 is: 1,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.06 : 1,739.29 = 1,012.18 : x
  2. Step 2: Convert to fraction form
    1,165.06/1,739.29 = 1,012.18/x
  3. Step 3: Cross multiply
    1,165.06x = 1,739.29 × 1,012.18
  4. Step 4: Simplify right side
    1,165.06x = 1,760,474.55
  5. Step 5: Solve for x
    x = 1,760,474.55/1,165.06
  6. Step 6: Final answer
    x = 1,511.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.