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Finding the Fourth Proportional to 1,203.64, 1,660.97 and 672.51

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Solution

The fourth proportional to 1,203.64, 1,660.97 and 672.51 is: 928.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.64 : 1,660.97 = 672.51 : x
  2. Step 2: Convert to fraction form
    1,203.64/1,660.97 = 672.51/x
  3. Step 3: Cross multiply
    1,203.64x = 1,660.97 × 672.51
  4. Step 4: Simplify right side
    1,203.64x = 1,117,020.62
  5. Step 5: Solve for x
    x = 1,117,020.62/1,203.64
  6. Step 6: Final answer
    x = 928.04

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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.