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Finding the Fourth Proportional to 1,210.43, 1,816.07 and 388.73

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Solution

The fourth proportional to 1,210.43, 1,816.07 and 388.73 is: 583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.43 : 1,816.07 = 388.73 : x
  2. Step 2: Convert to fraction form
    1,210.43/1,816.07 = 388.73/x
  3. Step 3: Cross multiply
    1,210.43x = 1,816.07 × 388.73
  4. Step 4: Simplify right side
    1,210.43x = 705,963.49
  5. Step 5: Solve for x
    x = 705,963.49/1,210.43
  6. Step 6: Final answer
    x = 583.23

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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.