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Finding the Fourth Proportional to 1,571.37, 2,357.10 and 475.75

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Solution

The fourth proportional to 1,571.37, 2,357.10 and 475.75 is: 713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.37 : 2,357.10 = 475.75 : x
  2. Step 2: Convert to fraction form
    1,571.37/2,357.10 = 475.75/x
  3. Step 3: Cross multiply
    1,571.37x = 2,357.10 × 475.75
  4. Step 4: Simplify right side
    1,571.37x = 1,121,390.33
  5. Step 5: Solve for x
    x = 1,121,390.33/1,571.37
  6. Step 6: Final answer
    x = 713.64

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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.