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Finding the Fourth Proportional to 1,536.94, 2,305.94 and 659.40

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Solution

The fourth proportional to 1,536.94, 2,305.94 and 659.40 is: 989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.94 : 2,305.94 = 659.40 : x
  2. Step 2: Convert to fraction form
    1,536.94/2,305.94 = 659.40/x
  3. Step 3: Cross multiply
    1,536.94x = 2,305.94 × 659.40
  4. Step 4: Simplify right side
    1,536.94x = 1,520,542.19
  5. Step 5: Solve for x
    x = 1,520,542.19/1,536.94
  6. Step 6: Final answer
    x = 989.33

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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.