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Finding the Fourth Proportional to 1,467.38, 2,199.85 and 542.41

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Solution

The fourth proportional to 1,467.38, 2,199.85 and 542.41 is: 813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.38 : 2,199.85 = 542.41 : x
  2. Step 2: Convert to fraction form
    1,467.38/2,199.85 = 542.41/x
  3. Step 3: Cross multiply
    1,467.38x = 2,199.85 × 542.41
  4. Step 4: Simplify right side
    1,467.38x = 1,193,220.64
  5. Step 5: Solve for x
    x = 1,193,220.64/1,467.38
  6. Step 6: Final answer
    x = 813.16

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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.