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Finding the Fourth Proportional to 1,067.64, 1,598.34 and 965.16

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Solution

The fourth proportional to 1,067.64, 1,598.34 and 965.16 is: 1,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.64 : 1,598.34 = 965.16 : x
  2. Step 2: Convert to fraction form
    1,067.64/1,598.34 = 965.16/x
  3. Step 3: Cross multiply
    1,067.64x = 1,598.34 × 965.16
  4. Step 4: Simplify right side
    1,067.64x = 1,542,653.83
  5. Step 5: Solve for x
    x = 1,542,653.83/1,067.64
  6. Step 6: Final answer
    x = 1,444.92

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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.