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Finding the Fourth Proportional to 802.63, 1,203.59 and 254.71

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Solution

The fourth proportional to 802.63, 1,203.59 and 254.71 is: 381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.63 : 1,203.59 = 254.71 : x
  2. Step 2: Convert to fraction form
    802.63/1,203.59 = 254.71/x
  3. Step 3: Cross multiply
    802.63x = 1,203.59 × 254.71
  4. Step 4: Simplify right side
    802.63x = 306,565.14
  5. Step 5: Solve for x
    x = 306,565.14/802.63
  6. Step 6: Final answer
    x = 381.95

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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.