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Finding the Fourth Proportional to 1,148.84, 1,722.60 and 1,012.16

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Solution

The fourth proportional to 1,148.84, 1,722.60 and 1,012.16 is: 1,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.84 : 1,722.60 = 1,012.16 : x
  2. Step 2: Convert to fraction form
    1,148.84/1,722.60 = 1,012.16/x
  3. Step 3: Cross multiply
    1,148.84x = 1,722.60 × 1,012.16
  4. Step 4: Simplify right side
    1,148.84x = 1,743,546.82
  5. Step 5: Solve for x
    x = 1,743,546.82/1,148.84
  6. Step 6: Final answer
    x = 1,517.66

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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.