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Finding the Fourth Proportional to 722.65, 1,083.90 and 235.78

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Solution

The fourth proportional to 722.65, 1,083.90 and 235.78 is: 353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.65 : 1,083.90 = 235.78 : x
  2. Step 2: Convert to fraction form
    722.65/1,083.90 = 235.78/x
  3. Step 3: Cross multiply
    722.65x = 1,083.90 × 235.78
  4. Step 4: Simplify right side
    722.65x = 255,561.94
  5. Step 5: Solve for x
    x = 255,561.94/722.65
  6. Step 6: Final answer
    x = 353.65

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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.