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Finding the Fourth Proportional to 1,134.06, 1,701.11 and 746.53

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Solution

The fourth proportional to 1,134.06, 1,701.11 and 746.53 is: 1,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.06 : 1,701.11 = 746.53 : x
  2. Step 2: Convert to fraction form
    1,134.06/1,701.11 = 746.53/x
  3. Step 3: Cross multiply
    1,134.06x = 1,701.11 × 746.53
  4. Step 4: Simplify right side
    1,134.06x = 1,269,929.65
  5. Step 5: Solve for x
    x = 1,269,929.65/1,134.06
  6. Step 6: Final answer
    x = 1,119.81

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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.