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Finding the Fourth Proportional to 989.14, 1,484.62 and 502.54

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Solution

The fourth proportional to 989.14, 1,484.62 and 502.54 is: 754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.14 : 1,484.62 = 502.54 : x
  2. Step 2: Convert to fraction form
    989.14/1,484.62 = 502.54/x
  3. Step 3: Cross multiply
    989.14x = 1,484.62 × 502.54
  4. Step 4: Simplify right side
    989.14x = 746,080.93
  5. Step 5: Solve for x
    x = 746,080.93/989.14
  6. Step 6: Final answer
    x = 754.27

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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.