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Finding the Fourth Proportional to 801.88, 1,203.36 and 391.12

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Solution

The fourth proportional to 801.88, 1,203.36 and 391.12 is: 586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.88 : 1,203.36 = 391.12 : x
  2. Step 2: Convert to fraction form
    801.88/1,203.36 = 391.12/x
  3. Step 3: Cross multiply
    801.88x = 1,203.36 × 391.12
  4. Step 4: Simplify right side
    801.88x = 470,658.16
  5. Step 5: Solve for x
    x = 470,658.16/801.88
  6. Step 6: Final answer
    x = 586.94

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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.