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Finding the Fourth Proportional to 723.11, 1,084.67 and 290.25

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Solution

The fourth proportional to 723.11, 1,084.67 and 290.25 is: 435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.11 : 1,084.67 = 290.25 : x
  2. Step 2: Convert to fraction form
    723.11/1,084.67 = 290.25/x
  3. Step 3: Cross multiply
    723.11x = 1,084.67 × 290.25
  4. Step 4: Simplify right side
    723.11x = 314,824.02
  5. Step 5: Solve for x
    x = 314,824.02/723.11
  6. Step 6: Final answer
    x = 435.38

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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.