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Finding the Fourth Proportional to 806.07, 1,113.84 and 648.39

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Solution

The fourth proportional to 806.07, 1,113.84 and 648.39 is: 895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.07 : 1,113.84 = 648.39 : x
  2. Step 2: Convert to fraction form
    806.07/1,113.84 = 648.39/x
  3. Step 3: Cross multiply
    806.07x = 1,113.84 × 648.39
  4. Step 4: Simplify right side
    806.07x = 722,202.72
  5. Step 5: Solve for x
    x = 722,202.72/806.07
  6. Step 6: Final answer
    x = 895.96

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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.