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Finding the Fourth Proportional to 1,150.64, 1,723.12 and 857.44

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Solution

The fourth proportional to 1,150.64, 1,723.12 and 857.44 is: 1,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.64 : 1,723.12 = 857.44 : x
  2. Step 2: Convert to fraction form
    1,150.64/1,723.12 = 857.44/x
  3. Step 3: Cross multiply
    1,150.64x = 1,723.12 × 857.44
  4. Step 4: Simplify right side
    1,150.64x = 1,477,472.01
  5. Step 5: Solve for x
    x = 1,477,472.01/1,150.64
  6. Step 6: Final answer
    x = 1,284.04

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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.