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Finding the Fourth Proportional to 1,107.30, 1,661.08 and 959.88

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Solution

The fourth proportional to 1,107.30, 1,661.08 and 959.88 is: 1,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.30 : 1,661.08 = 959.88 : x
  2. Step 2: Convert to fraction form
    1,107.30/1,661.08 = 959.88/x
  3. Step 3: Cross multiply
    1,107.30x = 1,661.08 × 959.88
  4. Step 4: Simplify right side
    1,107.30x = 1,594,437.47
  5. Step 5: Solve for x
    x = 1,594,437.47/1,107.30
  6. Step 6: Final answer
    x = 1,439.93

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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.