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Finding the Fourth Proportional to 1,467.44, 2,199.16 and 542.10

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Solution

The fourth proportional to 1,467.44, 2,199.16 and 542.10 is: 812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.44 : 2,199.16 = 542.10 : x
  2. Step 2: Convert to fraction form
    1,467.44/2,199.16 = 542.10/x
  3. Step 3: Cross multiply
    1,467.44x = 2,199.16 × 542.10
  4. Step 4: Simplify right side
    1,467.44x = 1,192,164.64
  5. Step 5: Solve for x
    x = 1,192,164.64/1,467.44
  6. Step 6: Final answer
    x = 812.41

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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.