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Finding the Fourth Proportional to 802.39, 1,106.97 and 540.49

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Solution

The fourth proportional to 802.39, 1,106.97 and 540.49 is: 745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.39 : 1,106.97 = 540.49 : x
  2. Step 2: Convert to fraction form
    802.39/1,106.97 = 540.49/x
  3. Step 3: Cross multiply
    802.39x = 1,106.97 × 540.49
  4. Step 4: Simplify right side
    802.39x = 598,306.22
  5. Step 5: Solve for x
    x = 598,306.22/802.39
  6. Step 6: Final answer
    x = 745.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.