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Finding the Fourth Proportional to 802.81, 1,108.36 and 523.53

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Solution

The fourth proportional to 802.81, 1,108.36 and 523.53 is: 722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.81 : 1,108.36 = 523.53 : x
  2. Step 2: Convert to fraction form
    802.81/1,108.36 = 523.53/x
  3. Step 3: Cross multiply
    802.81x = 1,108.36 × 523.53
  4. Step 4: Simplify right side
    802.81x = 580,254.80
  5. Step 5: Solve for x
    x = 580,254.80/802.81
  6. Step 6: Final answer
    x = 722.78

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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.