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Finding the Fourth Proportional to 733.42, 1,100.33 and 652.83

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Solution

The fourth proportional to 733.42, 1,100.33 and 652.83 is: 979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.42 : 1,100.33 = 652.83 : x
  2. Step 2: Convert to fraction form
    733.42/1,100.33 = 652.83/x
  3. Step 3: Cross multiply
    733.42x = 1,100.33 × 652.83
  4. Step 4: Simplify right side
    733.42x = 718,328.43
  5. Step 5: Solve for x
    x = 718,328.43/733.42
  6. Step 6: Final answer
    x = 979.42

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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.