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Finding the Fourth Proportional to 929.86, 1,282.49 and 681.09

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Solution

The fourth proportional to 929.86, 1,282.49 and 681.09 is: 939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.86 : 1,282.49 = 681.09 : x
  2. Step 2: Convert to fraction form
    929.86/1,282.49 = 681.09/x
  3. Step 3: Cross multiply
    929.86x = 1,282.49 × 681.09
  4. Step 4: Simplify right side
    929.86x = 873,491.11
  5. Step 5: Solve for x
    x = 873,491.11/929.86
  6. Step 6: Final answer
    x = 939.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.