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Finding the Fourth Proportional to 681.23, 1,020.93 and 291.02

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Solution

The fourth proportional to 681.23, 1,020.93 and 291.02 is: 436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.23 : 1,020.93 = 291.02 : x
  2. Step 2: Convert to fraction form
    681.23/1,020.93 = 291.02/x
  3. Step 3: Cross multiply
    681.23x = 1,020.93 × 291.02
  4. Step 4: Simplify right side
    681.23x = 297,105.94
  5. Step 5: Solve for x
    x = 297,105.94/681.23
  6. Step 6: Final answer
    x = 436.13

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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.