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Finding the Fourth Proportional to 981.09, 1,464.74 and 748.74

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Solution

The fourth proportional to 981.09, 1,464.74 and 748.74 is: 1,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.09 : 1,464.74 = 748.74 : x
  2. Step 2: Convert to fraction form
    981.09/1,464.74 = 748.74/x
  3. Step 3: Cross multiply
    981.09x = 1,464.74 × 748.74
  4. Step 4: Simplify right side
    981.09x = 1,096,705.68
  5. Step 5: Solve for x
    x = 1,096,705.68/981.09
  6. Step 6: Final answer
    x = 1,117.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.