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Finding the Fourth Proportional to 974.82, 1,462.77 and 542.22

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Solution

The fourth proportional to 974.82, 1,462.77 and 542.22 is: 813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.82 : 1,462.77 = 542.22 : x
  2. Step 2: Convert to fraction form
    974.82/1,462.77 = 542.22/x
  3. Step 3: Cross multiply
    974.82x = 1,462.77 × 542.22
  4. Step 4: Simplify right side
    974.82x = 793,143.15
  5. Step 5: Solve for x
    x = 793,143.15/974.82
  6. Step 6: Final answer
    x = 813.63

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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.