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Finding the Fourth Proportional to 723.91, 1,085.97 and 415.71

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Solution

The fourth proportional to 723.91, 1,085.97 and 415.71 is: 623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.91 : 1,085.97 = 415.71 : x
  2. Step 2: Convert to fraction form
    723.91/1,085.97 = 415.71/x
  3. Step 3: Cross multiply
    723.91x = 1,085.97 × 415.71
  4. Step 4: Simplify right side
    723.91x = 451,448.59
  5. Step 5: Solve for x
    x = 451,448.59/723.91
  6. Step 6: Final answer
    x = 623.63

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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.