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Finding the Fourth Proportional to 733.80, 1,101.10 and 409.12

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Solution

The fourth proportional to 733.80, 1,101.10 and 409.12 is: 613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.80 : 1,101.10 = 409.12 : x
  2. Step 2: Convert to fraction form
    733.80/1,101.10 = 409.12/x
  3. Step 3: Cross multiply
    733.80x = 1,101.10 × 409.12
  4. Step 4: Simplify right side
    733.80x = 450,482.03
  5. Step 5: Solve for x
    x = 450,482.03/733.80
  6. Step 6: Final answer
    x = 613.90

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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.