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Finding the Fourth Proportional to 835.42, 1,252.26 and 542.56

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Solution

The fourth proportional to 835.42, 1,252.26 and 542.56 is: 813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.42 : 1,252.26 = 542.56 : x
  2. Step 2: Convert to fraction form
    835.42/1,252.26 = 542.56/x
  3. Step 3: Cross multiply
    835.42x = 1,252.26 × 542.56
  4. Step 4: Simplify right side
    835.42x = 679,426.19
  5. Step 5: Solve for x
    x = 679,426.19/835.42
  6. Step 6: Final answer
    x = 813.27

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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.