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Finding the Fourth Proportional to 802.97, 1,203.68 and 255.02

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Solution

The fourth proportional to 802.97, 1,203.68 and 255.02 is: 382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.97 : 1,203.68 = 255.02 : x
  2. Step 2: Convert to fraction form
    802.97/1,203.68 = 255.02/x
  3. Step 3: Cross multiply
    802.97x = 1,203.68 × 255.02
  4. Step 4: Simplify right side
    802.97x = 306,966.12
  5. Step 5: Solve for x
    x = 306,966.12/802.97
  6. Step 6: Final answer
    x = 382.29

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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.