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Finding the Fourth Proportional to 1,165.80, 1,748.88 and 618.42

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Solution

The fourth proportional to 1,165.80, 1,748.88 and 618.42 is: 927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.80 : 1,748.88 = 618.42 : x
  2. Step 2: Convert to fraction form
    1,165.80/1,748.88 = 618.42/x
  3. Step 3: Cross multiply
    1,165.80x = 1,748.88 × 618.42
  4. Step 4: Simplify right side
    1,165.80x = 1,081,542.37
  5. Step 5: Solve for x
    x = 1,081,542.37/1,165.80
  6. Step 6: Final answer
    x = 927.73

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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.