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Finding the Fourth Proportional to 926.29, 1,278.86 and 689.97

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Solution

The fourth proportional to 926.29, 1,278.86 and 689.97 is: 952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.29 : 1,278.86 = 689.97 : x
  2. Step 2: Convert to fraction form
    926.29/1,278.86 = 689.97/x
  3. Step 3: Cross multiply
    926.29x = 1,278.86 × 689.97
  4. Step 4: Simplify right side
    926.29x = 882,369.19
  5. Step 5: Solve for x
    x = 882,369.19/926.29
  6. Step 6: Final answer
    x = 952.59

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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.