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Finding the Fourth Proportional to 1,065.72, 1,469.52 and 672.24

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Solution

The fourth proportional to 1,065.72, 1,469.52 and 672.24 is: 926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.72 : 1,469.52 = 672.24 : x
  2. Step 2: Convert to fraction form
    1,065.72/1,469.52 = 672.24/x
  3. Step 3: Cross multiply
    1,065.72x = 1,469.52 × 672.24
  4. Step 4: Simplify right side
    1,065.72x = 987,870.12
  5. Step 5: Solve for x
    x = 987,870.12/1,065.72
  6. Step 6: Final answer
    x = 926.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.