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Finding the Fourth Proportional to 908.23, 1,360.95 and 542.83

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Solution

The fourth proportional to 908.23, 1,360.95 and 542.83 is: 813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.23 : 1,360.95 = 542.83 : x
  2. Step 2: Convert to fraction form
    908.23/1,360.95 = 542.83/x
  3. Step 3: Cross multiply
    908.23x = 1,360.95 × 542.83
  4. Step 4: Simplify right side
    908.23x = 738,764.49
  5. Step 5: Solve for x
    x = 738,764.49/908.23
  6. Step 6: Final answer
    x = 813.41

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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.