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Finding the Fourth Proportional to 992.76, 1,490.25 and 627.75

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Solution

The fourth proportional to 992.76, 1,490.25 and 627.75 is: 942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.76 : 1,490.25 = 627.75 : x
  2. Step 2: Convert to fraction form
    992.76/1,490.25 = 627.75/x
  3. Step 3: Cross multiply
    992.76x = 1,490.25 × 627.75
  4. Step 4: Simplify right side
    992.76x = 935,503.26
  5. Step 5: Solve for x
    x = 935,503.26/992.76
  6. Step 6: Final answer
    x = 942.33

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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.