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Finding the Fourth Proportional to 1,571.88, 2,357.82 and 476.25

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Solution

The fourth proportional to 1,571.88, 2,357.82 and 476.25 is: 714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.88 : 2,357.82 = 476.25 : x
  2. Step 2: Convert to fraction form
    1,571.88/2,357.82 = 476.25/x
  3. Step 3: Cross multiply
    1,571.88x = 2,357.82 × 476.25
  4. Step 4: Simplify right side
    1,571.88x = 1,122,902.93
  5. Step 5: Solve for x
    x = 1,122,902.93/1,571.88
  6. Step 6: Final answer
    x = 714.37

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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.