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Finding the Fourth Proportional to 1,072.52, 1,479.12 and 674.22

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Solution

The fourth proportional to 1,072.52, 1,479.12 and 674.22 is: 929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.52 : 1,479.12 = 674.22 : x
  2. Step 2: Convert to fraction form
    1,072.52/1,479.12 = 674.22/x
  3. Step 3: Cross multiply
    1,072.52x = 1,479.12 × 674.22
  4. Step 4: Simplify right side
    1,072.52x = 997,252.29
  5. Step 5: Solve for x
    x = 997,252.29/1,072.52
  6. Step 6: Final answer
    x = 929.82

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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.