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Finding the Fourth Proportional to 1,467.42, 2,199.58 and 542.38

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Solution

The fourth proportional to 1,467.42, 2,199.58 and 542.38 is: 813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.42 : 2,199.58 = 542.38 : x
  2. Step 2: Convert to fraction form
    1,467.42/2,199.58 = 542.38/x
  3. Step 3: Cross multiply
    1,467.42x = 2,199.58 × 542.38
  4. Step 4: Simplify right side
    1,467.42x = 1,193,005.49
  5. Step 5: Solve for x
    x = 1,193,005.49/1,467.42
  6. Step 6: Final answer
    x = 813.00

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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.