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Finding the Fourth Proportional to 1,364.00, 2,046.14 and 542.09

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Solution

The fourth proportional to 1,364.00, 2,046.14 and 542.09 is: 813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.00 : 2,046.14 = 542.09 : x
  2. Step 2: Convert to fraction form
    1,364.00/2,046.14 = 542.09/x
  3. Step 3: Cross multiply
    1,364.00x = 2,046.14 × 542.09
  4. Step 4: Simplify right side
    1,364.00x = 1,109,194.44
  5. Step 5: Solve for x
    x = 1,109,194.44/1,364.00
  6. Step 6: Final answer
    x = 813.19

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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.