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Finding the Fourth Proportional to 1,097.58, 1,644.19 and 576.80

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Solution

The fourth proportional to 1,097.58, 1,644.19 and 576.80 is: 864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.58 : 1,644.19 = 576.80 : x
  2. Step 2: Convert to fraction form
    1,097.58/1,644.19 = 576.80/x
  3. Step 3: Cross multiply
    1,097.58x = 1,644.19 × 576.80
  4. Step 4: Simplify right side
    1,097.58x = 948,360.57
  5. Step 5: Solve for x
    x = 948,360.57/1,097.58
  6. Step 6: Final answer
    x = 864.05

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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.