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Finding the Fourth Proportional to 992.32, 1,487.56 and 626

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Solution

The fourth proportional to 992.32, 1,487.56 and 626 is: 938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.32 : 1,487.56 = 626 : x
  2. Step 2: Convert to fraction form
    992.32/1,487.56 = 626/x
  3. Step 3: Cross multiply
    992.32x = 1,487.56 × 626
  4. Step 4: Simplify right side
    992.32x = 931,212.56
  5. Step 5: Solve for x
    x = 931,212.56/992.32
  6. Step 6: Final answer
    x = 938.42

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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.