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Finding the Fourth Proportional to 1,344.48, 1,855.33 and 746.97

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Solution

The fourth proportional to 1,344.48, 1,855.33 and 746.97 is: 1,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.48 : 1,855.33 = 746.97 : x
  2. Step 2: Convert to fraction form
    1,344.48/1,855.33 = 746.97/x
  3. Step 3: Cross multiply
    1,344.48x = 1,855.33 × 746.97
  4. Step 4: Simplify right side
    1,344.48x = 1,385,875.85
  5. Step 5: Solve for x
    x = 1,385,875.85/1,344.48
  6. Step 6: Final answer
    x = 1,030.79

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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.