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Finding the Fourth Proportional to 681.13, 1,021.64 and 291.12

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Solution

The fourth proportional to 681.13, 1,021.64 and 291.12 is: 436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.13 : 1,021.64 = 291.12 : x
  2. Step 2: Convert to fraction form
    681.13/1,021.64 = 291.12/x
  3. Step 3: Cross multiply
    681.13x = 1,021.64 × 291.12
  4. Step 4: Simplify right side
    681.13x = 297,419.84
  5. Step 5: Solve for x
    x = 297,419.84/681.13
  6. Step 6: Final answer
    x = 436.66

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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.