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Finding the Fourth Proportional to 981.23, 1,470.81 and 737.01

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Solution

The fourth proportional to 981.23, 1,470.81 and 737.01 is: 1,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.23 : 1,470.81 = 737.01 : x
  2. Step 2: Convert to fraction form
    981.23/1,470.81 = 737.01/x
  3. Step 3: Cross multiply
    981.23x = 1,470.81 × 737.01
  4. Step 4: Simplify right side
    981.23x = 1,084,001.68
  5. Step 5: Solve for x
    x = 1,084,001.68/981.23
  6. Step 6: Final answer
    x = 1,104.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.