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Finding the Fourth Proportional to 802.65, 1,203.87 and 254.84

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Solution

The fourth proportional to 802.65, 1,203.87 and 254.84 is: 382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.65 : 1,203.87 = 254.84 : x
  2. Step 2: Convert to fraction form
    802.65/1,203.87 = 254.84/x
  3. Step 3: Cross multiply
    802.65x = 1,203.87 × 254.84
  4. Step 4: Simplify right side
    802.65x = 306,794.23
  5. Step 5: Solve for x
    x = 306,794.23/802.65
  6. Step 6: Final answer
    x = 382.23

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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.