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Finding the Fourth Proportional to 988.68, 1,484.07 and 441.24

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Solution

The fourth proportional to 988.68, 1,484.07 and 441.24 is: 662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.68 : 1,484.07 = 441.24 : x
  2. Step 2: Convert to fraction form
    988.68/1,484.07 = 441.24/x
  3. Step 3: Cross multiply
    988.68x = 1,484.07 × 441.24
  4. Step 4: Simplify right side
    988.68x = 654,828.84
  5. Step 5: Solve for x
    x = 654,828.84/988.68
  6. Step 6: Final answer
    x = 662.33

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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.