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Finding the Fourth Proportional to 1,496.19, 2,243.94 and 571.41

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Solution

The fourth proportional to 1,496.19, 2,243.94 and 571.41 is: 856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.19 : 2,243.94 = 571.41 : x
  2. Step 2: Convert to fraction form
    1,496.19/2,243.94 = 571.41/x
  3. Step 3: Cross multiply
    1,496.19x = 2,243.94 × 571.41
  4. Step 4: Simplify right side
    1,496.19x = 1,282,215.37
  5. Step 5: Solve for x
    x = 1,282,215.37/1,496.19
  6. Step 6: Final answer
    x = 856.99

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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.