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Finding the Fourth Proportional to 806.58, 1,112.97 and 452.51

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Solution

The fourth proportional to 806.58, 1,112.97 and 452.51 is: 624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.58 : 1,112.97 = 452.51 : x
  2. Step 2: Convert to fraction form
    806.58/1,112.97 = 452.51/x
  3. Step 3: Cross multiply
    806.58x = 1,112.97 × 452.51
  4. Step 4: Simplify right side
    806.58x = 503,630.05
  5. Step 5: Solve for x
    x = 503,630.05/806.58
  6. Step 6: Final answer
    x = 624.40

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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.