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Finding the Fourth Proportional to 1,571.13, 2,356.73 and 416.88

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Solution

The fourth proportional to 1,571.13, 2,356.73 and 416.88 is: 625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.13 : 2,356.73 = 416.88 : x
  2. Step 2: Convert to fraction form
    1,571.13/2,356.73 = 416.88/x
  3. Step 3: Cross multiply
    1,571.13x = 2,356.73 × 416.88
  4. Step 4: Simplify right side
    1,571.13x = 982,473.60
  5. Step 5: Solve for x
    x = 982,473.60/1,571.13
  6. Step 6: Final answer
    x = 625.33

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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.