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Finding the Fourth Proportional to 1,467.77, 2,201.60 and 542.96

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Solution

The fourth proportional to 1,467.77, 2,201.60 and 542.96 is: 814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.77 : 2,201.60 = 542.96 : x
  2. Step 2: Convert to fraction form
    1,467.77/2,201.60 = 542.96/x
  3. Step 3: Cross multiply
    1,467.77x = 2,201.60 × 542.96
  4. Step 4: Simplify right side
    1,467.77x = 1,195,367.01
  5. Step 5: Solve for x
    x = 1,195,367.01/1,467.77
  6. Step 6: Final answer
    x = 814.41

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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.