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Finding the Fourth Proportional to 800.42, 1,104.36 and 506.06

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Solution

The fourth proportional to 800.42, 1,104.36 and 506.06 is: 698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.42 : 1,104.36 = 506.06 : x
  2. Step 2: Convert to fraction form
    800.42/1,104.36 = 506.06/x
  3. Step 3: Cross multiply
    800.42x = 1,104.36 × 506.06
  4. Step 4: Simplify right side
    800.42x = 558,872.42
  5. Step 5: Solve for x
    x = 558,872.42/800.42
  6. Step 6: Final answer
    x = 698.22

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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.