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Finding the Fourth Proportional to 681.36, 1,021.40 and 542.19

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Solution

The fourth proportional to 681.36, 1,021.40 and 542.19 is: 812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.36 : 1,021.40 = 542.19 : x
  2. Step 2: Convert to fraction form
    681.36/1,021.40 = 542.19/x
  3. Step 3: Cross multiply
    681.36x = 1,021.40 × 542.19
  4. Step 4: Simplify right side
    681.36x = 553,795.26
  5. Step 5: Solve for x
    x = 553,795.26/681.36
  6. Step 6: Final answer
    x = 812.78

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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.