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Finding the Fourth Proportional to 1,078.80, 1,615.37 and 897.09

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Solution

The fourth proportional to 1,078.80, 1,615.37 and 897.09 is: 1,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.80 : 1,615.37 = 897.09 : x
  2. Step 2: Convert to fraction form
    1,078.80/1,615.37 = 897.09/x
  3. Step 3: Cross multiply
    1,078.80x = 1,615.37 × 897.09
  4. Step 4: Simplify right side
    1,078.80x = 1,449,127.79
  5. Step 5: Solve for x
    x = 1,449,127.79/1,078.80
  6. Step 6: Final answer
    x = 1,343.28

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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.