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Finding the Fourth Proportional to 802.53, 1,203.82 and 254.70

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Solution

The fourth proportional to 802.53, 1,203.82 and 254.70 is: 382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.53 : 1,203.82 = 254.70 : x
  2. Step 2: Convert to fraction form
    802.53/1,203.82 = 254.70/x
  3. Step 3: Cross multiply
    802.53x = 1,203.82 × 254.70
  4. Step 4: Simplify right side
    802.53x = 306,607.57
  5. Step 5: Solve for x
    x = 306,607.57/802.53
  6. Step 6: Final answer
    x = 382.05

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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.