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Finding the Fourth Proportional to 981.10, 1,472.73 and 494.02

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Solution

The fourth proportional to 981.10, 1,472.73 and 494.02 is: 741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.10 : 1,472.73 = 494.02 : x
  2. Step 2: Convert to fraction form
    981.10/1,472.73 = 494.02/x
  3. Step 3: Cross multiply
    981.10x = 1,472.73 × 494.02
  4. Step 4: Simplify right side
    981.10x = 727,558.07
  5. Step 5: Solve for x
    x = 727,558.07/981.10
  6. Step 6: Final answer
    x = 741.57

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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.