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Finding the Fourth Proportional to 802.74, 1,203.86 and 255.06

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Solution

The fourth proportional to 802.74, 1,203.86 and 255.06 is: 382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.74 : 1,203.86 = 255.06 : x
  2. Step 2: Convert to fraction form
    802.74/1,203.86 = 255.06/x
  3. Step 3: Cross multiply
    802.74x = 1,203.86 × 255.06
  4. Step 4: Simplify right side
    802.74x = 307,056.53
  5. Step 5: Solve for x
    x = 307,056.53/802.74
  6. Step 6: Final answer
    x = 382.51

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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.