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Finding the Fourth Proportional to 1,364.14, 2,046.67 and 542.19

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Solution

The fourth proportional to 1,364.14, 2,046.67 and 542.19 is: 813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.14 : 2,046.67 = 542.19 : x
  2. Step 2: Convert to fraction form
    1,364.14/2,046.67 = 542.19/x
  3. Step 3: Cross multiply
    1,364.14x = 2,046.67 × 542.19
  4. Step 4: Simplify right side
    1,364.14x = 1,109,690.33
  5. Step 5: Solve for x
    x = 1,109,690.33/1,364.14
  6. Step 6: Final answer
    x = 813.47

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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.