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Finding the Fourth Proportional to 805.07, 1,111.05 and 451.02

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Solution

The fourth proportional to 805.07, 1,111.05 and 451.02 is: 622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.07 : 1,111.05 = 451.02 : x
  2. Step 2: Convert to fraction form
    805.07/1,111.05 = 451.02/x
  3. Step 3: Cross multiply
    805.07x = 1,111.05 × 451.02
  4. Step 4: Simplify right side
    805.07x = 501,105.77
  5. Step 5: Solve for x
    x = 501,105.77/805.07
  6. Step 6: Final answer
    x = 622.44

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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.