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Finding the Fourth Proportional to 990.25, 1,484.32 and 502.27

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Solution

The fourth proportional to 990.25, 1,484.32 and 502.27 is: 752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.25 : 1,484.32 = 502.27 : x
  2. Step 2: Convert to fraction form
    990.25/1,484.32 = 502.27/x
  3. Step 3: Cross multiply
    990.25x = 1,484.32 × 502.27
  4. Step 4: Simplify right side
    990.25x = 745,529.41
  5. Step 5: Solve for x
    x = 745,529.41/990.25
  6. Step 6: Final answer
    x = 752.87

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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.