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Finding the Fourth Proportional to 802.02, 1,202.58 and 411.84

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Solution

The fourth proportional to 802.02, 1,202.58 and 411.84 is: 617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.02 : 1,202.58 = 411.84 : x
  2. Step 2: Convert to fraction form
    802.02/1,202.58 = 411.84/x
  3. Step 3: Cross multiply
    802.02x = 1,202.58 × 411.84
  4. Step 4: Simplify right side
    802.02x = 495,270.55
  5. Step 5: Solve for x
    x = 495,270.55/802.02
  6. Step 6: Final answer
    x = 617.53

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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.