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Finding the Fourth Proportional to 723.77, 1,086.12 and 416.23

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Solution

The fourth proportional to 723.77, 1,086.12 and 416.23 is: 624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.77 : 1,086.12 = 416.23 : x
  2. Step 2: Convert to fraction form
    723.77/1,086.12 = 416.23/x
  3. Step 3: Cross multiply
    723.77x = 1,086.12 × 416.23
  4. Step 4: Simplify right side
    723.77x = 452,075.73
  5. Step 5: Solve for x
    x = 452,075.73/723.77
  6. Step 6: Final answer
    x = 624.61

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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.