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Finding the Fourth Proportional to 1,571.28, 2,356.93 and 475.59

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Solution

The fourth proportional to 1,571.28, 2,356.93 and 475.59 is: 713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.28 : 2,356.93 = 475.59 : x
  2. Step 2: Convert to fraction form
    1,571.28/2,356.93 = 475.59/x
  3. Step 3: Cross multiply
    1,571.28x = 2,356.93 × 475.59
  4. Step 4: Simplify right side
    1,571.28x = 1,120,931.15
  5. Step 5: Solve for x
    x = 1,120,931.15/1,571.28
  6. Step 6: Final answer
    x = 713.39

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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.