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Finding the Fourth Proportional to 806.12, 1,112.45 and 452.04

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Solution

The fourth proportional to 806.12, 1,112.45 and 452.04 is: 623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.12 : 1,112.45 = 452.04 : x
  2. Step 2: Convert to fraction form
    806.12/1,112.45 = 452.04/x
  3. Step 3: Cross multiply
    806.12x = 1,112.45 × 452.04
  4. Step 4: Simplify right side
    806.12x = 502,871.90
  5. Step 5: Solve for x
    x = 502,871.90/806.12
  6. Step 6: Final answer
    x = 623.82

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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.