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Finding the Fourth Proportional to 1,141.37, 1,711.80 and 447.81

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Solution

The fourth proportional to 1,141.37, 1,711.80 and 447.81 is: 671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.37 : 1,711.80 = 447.81 : x
  2. Step 2: Convert to fraction form
    1,141.37/1,711.80 = 447.81/x
  3. Step 3: Cross multiply
    1,141.37x = 1,711.80 × 447.81
  4. Step 4: Simplify right side
    1,141.37x = 766,561.16
  5. Step 5: Solve for x
    x = 766,561.16/1,141.37
  6. Step 6: Final answer
    x = 671.62

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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.