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Finding the Fourth Proportional to 1,322.19, 1,983.49 and 672.57

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Solution

The fourth proportional to 1,322.19, 1,983.49 and 672.57 is: 1,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.19 : 1,983.49 = 672.57 : x
  2. Step 2: Convert to fraction form
    1,322.19/1,983.49 = 672.57/x
  3. Step 3: Cross multiply
    1,322.19x = 1,983.49 × 672.57
  4. Step 4: Simplify right side
    1,322.19x = 1,334,034.19
  5. Step 5: Solve for x
    x = 1,334,034.19/1,322.19
  6. Step 6: Final answer
    x = 1,008.96

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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.