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Finding the Fourth Proportional to 1,213.68, 1,675.62 and 748.56

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Solution

The fourth proportional to 1,213.68, 1,675.62 and 748.56 is: 1,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.68 : 1,675.62 = 748.56 : x
  2. Step 2: Convert to fraction form
    1,213.68/1,675.62 = 748.56/x
  3. Step 3: Cross multiply
    1,213.68x = 1,675.62 × 748.56
  4. Step 4: Simplify right side
    1,213.68x = 1,254,302.11
  5. Step 5: Solve for x
    x = 1,254,302.11/1,213.68
  6. Step 6: Final answer
    x = 1,033.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.