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Finding the Fourth Proportional to 1,571.10, 2,356.65 and 475.78

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Solution

The fourth proportional to 1,571.10, 2,356.65 and 475.78 is: 713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.10 : 2,356.65 = 475.78 : x
  2. Step 2: Convert to fraction form
    1,571.10/2,356.65 = 475.78/x
  3. Step 3: Cross multiply
    1,571.10x = 2,356.65 × 475.78
  4. Step 4: Simplify right side
    1,571.10x = 1,121,241.05
  5. Step 5: Solve for x
    x = 1,121,241.05/1,571.10
  6. Step 6: Final answer
    x = 713.67

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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.