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Finding the Fourth Proportional to 801.77, 1,201.23 and 557.82

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Solution

The fourth proportional to 801.77, 1,201.23 and 557.82 is: 835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.77 : 1,201.23 = 557.82 : x
  2. Step 2: Convert to fraction form
    801.77/1,201.23 = 557.82/x
  3. Step 3: Cross multiply
    801.77x = 1,201.23 × 557.82
  4. Step 4: Simplify right side
    801.77x = 670,070.12
  5. Step 5: Solve for x
    x = 670,070.12/801.77
  6. Step 6: Final answer
    x = 835.74

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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.