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Finding the Fourth Proportional to 724.61, 1,086.01 and 416.00

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Solution

The fourth proportional to 724.61, 1,086.01 and 416.00 is: 623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.61 : 1,086.01 = 416.00 : x
  2. Step 2: Convert to fraction form
    724.61/1,086.01 = 416.00/x
  3. Step 3: Cross multiply
    724.61x = 1,086.01 × 416.00
  4. Step 4: Simplify right side
    724.61x = 451,781.84
  5. Step 5: Solve for x
    x = 451,781.84/724.61
  6. Step 6: Final answer
    x = 623.48

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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.