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Finding the Fourth Proportional to 1,704.52, 2,557.18 and 716.80

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Solution

The fourth proportional to 1,704.52, 2,557.18 and 716.80 is: 1,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.52 : 2,557.18 = 716.80 : x
  2. Step 2: Convert to fraction form
    1,704.52/2,557.18 = 716.80/x
  3. Step 3: Cross multiply
    1,704.52x = 2,557.18 × 716.80
  4. Step 4: Simplify right side
    1,704.52x = 1,832,986.62
  5. Step 5: Solve for x
    x = 1,832,986.62/1,704.52
  6. Step 6: Final answer
    x = 1,075.37

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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.