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Finding the Fourth Proportional to 625.18, 937.84 and 542.26

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Solution

The fourth proportional to 625.18, 937.84 and 542.26 is: 813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.18 : 937.84 = 542.26 : x
  2. Step 2: Convert to fraction form
    625.18/937.84 = 542.26/x
  3. Step 3: Cross multiply
    625.18x = 937.84 × 542.26
  4. Step 4: Simplify right side
    625.18x = 508,553.12
  5. Step 5: Solve for x
    x = 508,553.12/625.18
  6. Step 6: Final answer
    x = 813.45

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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.