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Finding the Fourth Proportional to 1,571.47, 2,357.22 and 475.92

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Solution

The fourth proportional to 1,571.47, 2,357.22 and 475.92 is: 713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.47 : 2,357.22 = 475.92 : x
  2. Step 2: Convert to fraction form
    1,571.47/2,357.22 = 475.92/x
  3. Step 3: Cross multiply
    1,571.47x = 2,357.22 × 475.92
  4. Step 4: Simplify right side
    1,571.47x = 1,121,846.95
  5. Step 5: Solve for x
    x = 1,121,846.95/1,571.47
  6. Step 6: Final answer
    x = 713.88

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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.