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Finding the Fourth Proportional to 802.44, 1,202.67 and 411.75

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Solution

The fourth proportional to 802.44, 1,202.67 and 411.75 is: 617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.44 : 1,202.67 = 411.75 : x
  2. Step 2: Convert to fraction form
    802.44/1,202.67 = 411.75/x
  3. Step 3: Cross multiply
    802.44x = 1,202.67 × 411.75
  4. Step 4: Simplify right side
    802.44x = 495,199.37
  5. Step 5: Solve for x
    x = 495,199.37/802.44
  6. Step 6: Final answer
    x = 617.12

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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.