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Finding the Fourth Proportional to 853.26, 1,280.49 and 802.23

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Solution

The fourth proportional to 853.26, 1,280.49 and 802.23 is: 1,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.26 : 1,280.49 = 802.23 : x
  2. Step 2: Convert to fraction form
    853.26/1,280.49 = 802.23/x
  3. Step 3: Cross multiply
    853.26x = 1,280.49 × 802.23
  4. Step 4: Simplify right side
    853.26x = 1,027,247.49
  5. Step 5: Solve for x
    x = 1,027,247.49/853.26
  6. Step 6: Final answer
    x = 1,203.91

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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.