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Finding the Fourth Proportional to 722.80, 1,084.36 and 235.74

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Solution

The fourth proportional to 722.80, 1,084.36 and 235.74 is: 353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.80 : 1,084.36 = 235.74 : x
  2. Step 2: Convert to fraction form
    722.80/1,084.36 = 235.74/x
  3. Step 3: Cross multiply
    722.80x = 1,084.36 × 235.74
  4. Step 4: Simplify right side
    722.80x = 255,622.46
  5. Step 5: Solve for x
    x = 255,622.46/722.80
  6. Step 6: Final answer
    x = 353.66

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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.