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Finding the Fourth Proportional to 1,107.88, 1,659.64 and 953.80

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Solution

The fourth proportional to 1,107.88, 1,659.64 and 953.80 is: 1,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.88 : 1,659.64 = 953.80 : x
  2. Step 2: Convert to fraction form
    1,107.88/1,659.64 = 953.80/x
  3. Step 3: Cross multiply
    1,107.88x = 1,659.64 × 953.80
  4. Step 4: Simplify right side
    1,107.88x = 1,582,964.63
  5. Step 5: Solve for x
    x = 1,582,964.63/1,107.88
  6. Step 6: Final answer
    x = 1,428.82

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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.