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Finding the Fourth Proportional to 800.33, 1,199.72 and 410.51

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Solution

The fourth proportional to 800.33, 1,199.72 and 410.51 is: 615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.33 : 1,199.72 = 410.51 : x
  2. Step 2: Convert to fraction form
    800.33/1,199.72 = 410.51/x
  3. Step 3: Cross multiply
    800.33x = 1,199.72 × 410.51
  4. Step 4: Simplify right side
    800.33x = 492,497.06
  5. Step 5: Solve for x
    x = 492,497.06/800.33
  6. Step 6: Final answer
    x = 615.37

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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.