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Finding the Fourth Proportional to 926.05, 1,387.02 and 665.27

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Solution

The fourth proportional to 926.05, 1,387.02 and 665.27 is: 996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.05 : 1,387.02 = 665.27 : x
  2. Step 2: Convert to fraction form
    926.05/1,387.02 = 665.27/x
  3. Step 3: Cross multiply
    926.05x = 1,387.02 × 665.27
  4. Step 4: Simplify right side
    926.05x = 922,746.73
  5. Step 5: Solve for x
    x = 922,746.73/926.05
  6. Step 6: Final answer
    x = 996.43

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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.