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Finding the Fourth Proportional to 1,179.19, 1,758.49 and 1,033.61

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Solution

The fourth proportional to 1,179.19, 1,758.49 and 1,033.61 is: 1,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.19 : 1,758.49 = 1,033.61 : x
  2. Step 2: Convert to fraction form
    1,179.19/1,758.49 = 1,033.61/x
  3. Step 3: Cross multiply
    1,179.19x = 1,758.49 × 1,033.61
  4. Step 4: Simplify right side
    1,179.19x = 1,817,594.66
  5. Step 5: Solve for x
    x = 1,817,594.66/1,179.19
  6. Step 6: Final answer
    x = 1,541.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.