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Finding the Fourth Proportional to 1,160.97, 1,740.94 and 544.85

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Solution

The fourth proportional to 1,160.97, 1,740.94 and 544.85 is: 817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.97 : 1,740.94 = 544.85 : x
  2. Step 2: Convert to fraction form
    1,160.97/1,740.94 = 544.85/x
  3. Step 3: Cross multiply
    1,160.97x = 1,740.94 × 544.85
  4. Step 4: Simplify right side
    1,160.97x = 948,555.58
  5. Step 5: Solve for x
    x = 948,555.58/1,160.97
  6. Step 6: Final answer
    x = 817.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.