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Finding the Fourth Proportional to 723.86, 1,085.34 and 353.42

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Solution

The fourth proportional to 723.86, 1,085.34 and 353.42 is: 529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.86 : 1,085.34 = 353.42 : x
  2. Step 2: Convert to fraction form
    723.86/1,085.34 = 353.42/x
  3. Step 3: Cross multiply
    723.86x = 1,085.34 × 353.42
  4. Step 4: Simplify right side
    723.86x = 383,580.86
  5. Step 5: Solve for x
    x = 383,580.86/723.86
  6. Step 6: Final answer
    x = 529.91

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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.