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Finding the Fourth Proportional to 1,293.74, 1,938.49 and 746.39

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Solution

The fourth proportional to 1,293.74, 1,938.49 and 746.39 is: 1,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.74 : 1,938.49 = 746.39 : x
  2. Step 2: Convert to fraction form
    1,293.74/1,938.49 = 746.39/x
  3. Step 3: Cross multiply
    1,293.74x = 1,938.49 × 746.39
  4. Step 4: Simplify right side
    1,293.74x = 1,446,869.55
  5. Step 5: Solve for x
    x = 1,446,869.55/1,293.74
  6. Step 6: Final answer
    x = 1,118.36

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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.