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Finding the Fourth Proportional to 801.26, 1,199.33 and 430.55

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Solution

The fourth proportional to 801.26, 1,199.33 and 430.55 is: 644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.26 : 1,199.33 = 430.55 : x
  2. Step 2: Convert to fraction form
    801.26/1,199.33 = 430.55/x
  3. Step 3: Cross multiply
    801.26x = 1,199.33 × 430.55
  4. Step 4: Simplify right side
    801.26x = 516,371.53
  5. Step 5: Solve for x
    x = 516,371.53/801.26
  6. Step 6: Final answer
    x = 644.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.