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Finding the Fourth Proportional to 1,247.02, 1,870.46 and 381.33

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Solution

The fourth proportional to 1,247.02, 1,870.46 and 381.33 is: 571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.02 : 1,870.46 = 381.33 : x
  2. Step 2: Convert to fraction form
    1,247.02/1,870.46 = 381.33/x
  3. Step 3: Cross multiply
    1,247.02x = 1,870.46 × 381.33
  4. Step 4: Simplify right side
    1,247.02x = 713,262.04
  5. Step 5: Solve for x
    x = 713,262.04/1,247.02
  6. Step 6: Final answer
    x = 571.97

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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.