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Finding the Fourth Proportional to 1,112.34, 1,665.27 and 678.18

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Solution

The fourth proportional to 1,112.34, 1,665.27 and 678.18 is: 1,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.34 : 1,665.27 = 678.18 : x
  2. Step 2: Convert to fraction form
    1,112.34/1,665.27 = 678.18/x
  3. Step 3: Cross multiply
    1,112.34x = 1,665.27 × 678.18
  4. Step 4: Simplify right side
    1,112.34x = 1,129,352.81
  5. Step 5: Solve for x
    x = 1,129,352.81/1,112.34
  6. Step 6: Final answer
    x = 1,015.29

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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.