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Finding the Fourth Proportional to 722.57, 1,084.01 and 235.61

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Solution

The fourth proportional to 722.57, 1,084.01 and 235.61 is: 353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.57 : 1,084.01 = 235.61 : x
  2. Step 2: Convert to fraction form
    722.57/1,084.01 = 235.61/x
  3. Step 3: Cross multiply
    722.57x = 1,084.01 × 235.61
  4. Step 4: Simplify right side
    722.57x = 255,403.60
  5. Step 5: Solve for x
    x = 255,403.60/722.57
  6. Step 6: Final answer
    x = 353.47

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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.