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Finding the Fourth Proportional to 800.74, 1,106.04 and 591.22

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Solution

The fourth proportional to 800.74, 1,106.04 and 591.22 is: 816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.74 : 1,106.04 = 591.22 : x
  2. Step 2: Convert to fraction form
    800.74/1,106.04 = 591.22/x
  3. Step 3: Cross multiply
    800.74x = 1,106.04 × 591.22
  4. Step 4: Simplify right side
    800.74x = 653,912.97
  5. Step 5: Solve for x
    x = 653,912.97/800.74
  6. Step 6: Final answer
    x = 816.64

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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.