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Finding the Fourth Proportional to 996.32, 1,496.16 and 614.00

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Solution

The fourth proportional to 996.32, 1,496.16 and 614.00 is: 922.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.32 : 1,496.16 = 614.00 : x
  2. Step 2: Convert to fraction form
    996.32/1,496.16 = 614.00/x
  3. Step 3: Cross multiply
    996.32x = 1,496.16 × 614.00
  4. Step 4: Simplify right side
    996.32x = 918,634.76
  5. Step 5: Solve for x
    x = 918,634.76/996.32
  6. Step 6: Final answer
    x = 922.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.