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Finding the Fourth Proportional to 1,364.24, 2,046.97 and 542.60

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Solution

The fourth proportional to 1,364.24, 2,046.97 and 542.60 is: 814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.24 : 2,046.97 = 542.60 : x
  2. Step 2: Convert to fraction form
    1,364.24/2,046.97 = 542.60/x
  3. Step 3: Cross multiply
    1,364.24x = 2,046.97 × 542.60
  4. Step 4: Simplify right side
    1,364.24x = 1,110,684.04
  5. Step 5: Solve for x
    x = 1,110,684.04/1,364.24
  6. Step 6: Final answer
    x = 814.14

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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.