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Finding the Fourth Proportional to 1,288.81, 1,932.58 and 672.36

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Solution

The fourth proportional to 1,288.81, 1,932.58 and 672.36 is: 1,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.81 : 1,932.58 = 672.36 : x
  2. Step 2: Convert to fraction form
    1,288.81/1,932.58 = 672.36/x
  3. Step 3: Cross multiply
    1,288.81x = 1,932.58 × 672.36
  4. Step 4: Simplify right side
    1,288.81x = 1,299,389.49
  5. Step 5: Solve for x
    x = 1,299,389.49/1,288.81
  6. Step 6: Final answer
    x = 1,008.21

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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.