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Finding the Fourth Proportional to 723.98, 1,085.49 and 261.68

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Solution

The fourth proportional to 723.98, 1,085.49 and 261.68 is: 392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.98 : 1,085.49 = 261.68 : x
  2. Step 2: Convert to fraction form
    723.98/1,085.49 = 261.68/x
  3. Step 3: Cross multiply
    723.98x = 1,085.49 × 261.68
  4. Step 4: Simplify right side
    723.98x = 284,051.02
  5. Step 5: Solve for x
    x = 284,051.02/723.98
  6. Step 6: Final answer
    x = 392.35

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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.