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Finding the Fourth Proportional to 1,596.52, 2,394.15 and 542.05

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Solution

The fourth proportional to 1,596.52, 2,394.15 and 542.05 is: 812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.52 : 2,394.15 = 542.05 : x
  2. Step 2: Convert to fraction form
    1,596.52/2,394.15 = 542.05/x
  3. Step 3: Cross multiply
    1,596.52x = 2,394.15 × 542.05
  4. Step 4: Simplify right side
    1,596.52x = 1,297,734.33
  5. Step 5: Solve for x
    x = 1,297,734.33/1,596.52
  6. Step 6: Final answer
    x = 812.85

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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.