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Finding the Fourth Proportional to 1,213.84, 1,675.12 and 748.08

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Solution

The fourth proportional to 1,213.84, 1,675.12 and 748.08 is: 1,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.84 : 1,675.12 = 748.08 : x
  2. Step 2: Convert to fraction form
    1,213.84/1,675.12 = 748.08/x
  3. Step 3: Cross multiply
    1,213.84x = 1,675.12 × 748.08
  4. Step 4: Simplify right side
    1,213.84x = 1,253,123.77
  5. Step 5: Solve for x
    x = 1,253,123.77/1,213.84
  6. Step 6: Final answer
    x = 1,032.36

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Why These Related Problems?

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