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Finding the Fourth Proportional to 802.61, 1,203.02 and 411.46

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Solution

The fourth proportional to 802.61, 1,203.02 and 411.46 is: 616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.61 : 1,203.02 = 411.46 : x
  2. Step 2: Convert to fraction form
    802.61/1,203.02 = 411.46/x
  3. Step 3: Cross multiply
    802.61x = 1,203.02 × 411.46
  4. Step 4: Simplify right side
    802.61x = 494,991.09
  5. Step 5: Solve for x
    x = 494,991.09/802.61
  6. Step 6: Final answer
    x = 616.73

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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.