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Finding the Fourth Proportional to 802.57, 1,203.89 and 254.83

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Solution

The fourth proportional to 802.57, 1,203.89 and 254.83 is: 382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.57 : 1,203.89 = 254.83 : x
  2. Step 2: Convert to fraction form
    802.57/1,203.89 = 254.83/x
  3. Step 3: Cross multiply
    802.57x = 1,203.89 × 254.83
  4. Step 4: Simplify right side
    802.57x = 306,783.00
  5. Step 5: Solve for x
    x = 306,783.00/802.57
  6. Step 6: Final answer
    x = 382.25

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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.