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Finding the Fourth Proportional to 1,467.48, 2,201.12 and 542.87

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Solution

The fourth proportional to 1,467.48, 2,201.12 and 542.87 is: 814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.48 : 2,201.12 = 542.87 : x
  2. Step 2: Convert to fraction form
    1,467.48/2,201.12 = 542.87/x
  3. Step 3: Cross multiply
    1,467.48x = 2,201.12 × 542.87
  4. Step 4: Simplify right side
    1,467.48x = 1,194,922.01
  5. Step 5: Solve for x
    x = 1,194,922.01/1,467.48
  6. Step 6: Final answer
    x = 814.27

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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.