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Finding the Fourth Proportional to 723.39, 1,085.40 and 312.43

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Solution

The fourth proportional to 723.39, 1,085.40 and 312.43 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.39 : 1,085.40 = 312.43 : x
  2. Step 2: Convert to fraction form
    723.39/1,085.40 = 312.43/x
  3. Step 3: Cross multiply
    723.39x = 1,085.40 × 312.43
  4. Step 4: Simplify right side
    723.39x = 339,112.69
  5. Step 5: Solve for x
    x = 339,112.69/723.39
  6. Step 6: Final answer
    x = 468.78

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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.