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Finding the Fourth Proportional to 1,067.02, 1,599.02 and 956.64

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Solution

The fourth proportional to 1,067.02, 1,599.02 and 956.64 is: 1,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.02 : 1,599.02 = 956.64 : x
  2. Step 2: Convert to fraction form
    1,067.02/1,599.02 = 956.64/x
  3. Step 3: Cross multiply
    1,067.02x = 1,599.02 × 956.64
  4. Step 4: Simplify right side
    1,067.02x = 1,529,686.49
  5. Step 5: Solve for x
    x = 1,529,686.49/1,067.02
  6. Step 6: Final answer
    x = 1,433.61

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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.