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Finding the Fourth Proportional to 1,105.64, 1,656 and 957.44

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Solution

The fourth proportional to 1,105.64, 1,656 and 957.44 is: 1,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.64 : 1,656 = 957.44 : x
  2. Step 2: Convert to fraction form
    1,105.64/1,656 = 957.44/x
  3. Step 3: Cross multiply
    1,105.64x = 1,656 × 957.44
  4. Step 4: Simplify right side
    1,105.64x = 1,585,520.64
  5. Step 5: Solve for x
    x = 1,585,520.64/1,105.64
  6. Step 6: Final answer
    x = 1,434.03

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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.