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Finding the Fourth Proportional to 800.33, 1,102.14 and 653.31

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Solution

The fourth proportional to 800.33, 1,102.14 and 653.31 is: 899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.33 : 1,102.14 = 653.31 : x
  2. Step 2: Convert to fraction form
    800.33/1,102.14 = 653.31/x
  3. Step 3: Cross multiply
    800.33x = 1,102.14 × 653.31
  4. Step 4: Simplify right side
    800.33x = 720,039.08
  5. Step 5: Solve for x
    x = 720,039.08/800.33
  6. Step 6: Final answer
    x = 899.68

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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.