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Finding the Fourth Proportional to 1,316.28, 1,974.42 and 738.84

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Solution

The fourth proportional to 1,316.28, 1,974.42 and 738.84 is: 1,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.28 : 1,974.42 = 738.84 : x
  2. Step 2: Convert to fraction form
    1,316.28/1,974.42 = 738.84/x
  3. Step 3: Cross multiply
    1,316.28x = 1,974.42 × 738.84
  4. Step 4: Simplify right side
    1,316.28x = 1,458,780.47
  5. Step 5: Solve for x
    x = 1,458,780.47/1,316.28
  6. Step 6: Final answer
    x = 1,108.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.