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Finding the Fourth Proportional to 806.03, 1,110.81 and 556.91

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Solution

The fourth proportional to 806.03, 1,110.81 and 556.91 is: 767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.03 : 1,110.81 = 556.91 : x
  2. Step 2: Convert to fraction form
    806.03/1,110.81 = 556.91/x
  3. Step 3: Cross multiply
    806.03x = 1,110.81 × 556.91
  4. Step 4: Simplify right side
    806.03x = 618,621.90
  5. Step 5: Solve for x
    x = 618,621.90/806.03
  6. Step 6: Final answer
    x = 767.49

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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.