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Finding the Fourth Proportional to 1,571.77, 2,357.68 and 476.15

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Solution

The fourth proportional to 1,571.77, 2,357.68 and 476.15 is: 714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.77 : 2,357.68 = 476.15 : x
  2. Step 2: Convert to fraction form
    1,571.77/2,357.68 = 476.15/x
  3. Step 3: Cross multiply
    1,571.77x = 2,357.68 × 476.15
  4. Step 4: Simplify right side
    1,571.77x = 1,122,609.33
  5. Step 5: Solve for x
    x = 1,122,609.33/1,571.77
  6. Step 6: Final answer
    x = 714.23

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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.