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Finding the Fourth Proportional to 722.96, 1,084.61 and 236.02

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Solution

The fourth proportional to 722.96, 1,084.61 and 236.02 is: 354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.96 : 1,084.61 = 236.02 : x
  2. Step 2: Convert to fraction form
    722.96/1,084.61 = 236.02/x
  3. Step 3: Cross multiply
    722.96x = 1,084.61 × 236.02
  4. Step 4: Simplify right side
    722.96x = 255,987.53
  5. Step 5: Solve for x
    x = 255,987.53/722.96
  6. Step 6: Final answer
    x = 354.08

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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.