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Finding the Fourth Proportional to 681.93, 1,022.13 and 291.65

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Solution

The fourth proportional to 681.93, 1,022.13 and 291.65 is: 437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.93 : 1,022.13 = 291.65 : x
  2. Step 2: Convert to fraction form
    681.93/1,022.13 = 291.65/x
  3. Step 3: Cross multiply
    681.93x = 1,022.13 × 291.65
  4. Step 4: Simplify right side
    681.93x = 298,099.10
  5. Step 5: Solve for x
    x = 298,099.10/681.93
  6. Step 6: Final answer
    x = 437.14

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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.