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Finding the Fourth Proportional to 723.54, 1,085.78 and 416

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Solution

The fourth proportional to 723.54, 1,085.78 and 416 is: 624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.54 : 1,085.78 = 416 : x
  2. Step 2: Convert to fraction form
    723.54/1,085.78 = 416/x
  3. Step 3: Cross multiply
    723.54x = 1,085.78 × 416
  4. Step 4: Simplify right side
    723.54x = 451,684.48
  5. Step 5: Solve for x
    x = 451,684.48/723.54
  6. Step 6: Final answer
    x = 624.27

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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.