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Finding the Fourth Proportional to 805.92, 1,112.25 and 451.90

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Solution

The fourth proportional to 805.92, 1,112.25 and 451.90 is: 623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.92 : 1,112.25 = 451.90 : x
  2. Step 2: Convert to fraction form
    805.92/1,112.25 = 451.90/x
  3. Step 3: Cross multiply
    805.92x = 1,112.25 × 451.90
  4. Step 4: Simplify right side
    805.92x = 502,621.34
  5. Step 5: Solve for x
    x = 502,621.34/805.92
  6. Step 6: Final answer
    x = 623.67

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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.