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Finding the Fourth Proportional to 723.33, 1,086.08 and 415.53

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Solution

The fourth proportional to 723.33, 1,086.08 and 415.53 is: 623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.33 : 1,086.08 = 415.53 : x
  2. Step 2: Convert to fraction form
    723.33/1,086.08 = 415.53/x
  3. Step 3: Cross multiply
    723.33x = 1,086.08 × 415.53
  4. Step 4: Simplify right side
    723.33x = 451,296.74
  5. Step 5: Solve for x
    x = 451,296.74/723.33
  6. Step 6: Final answer
    x = 623.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.