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Finding the Fourth Proportional to 1,571.46, 2,356.89 and 475.53

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Solution

The fourth proportional to 1,571.46, 2,356.89 and 475.53 is: 713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.46 : 2,356.89 = 475.53 : x
  2. Step 2: Convert to fraction form
    1,571.46/2,356.89 = 475.53/x
  3. Step 3: Cross multiply
    1,571.46x = 2,356.89 × 475.53
  4. Step 4: Simplify right side
    1,571.46x = 1,120,775.88
  5. Step 5: Solve for x
    x = 1,120,775.88/1,571.46
  6. Step 6: Final answer
    x = 713.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.