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Finding the Fourth Proportional to 677.16, 1,016.24 and 672.08

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Solution

The fourth proportional to 677.16, 1,016.24 and 672.08 is: 1,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.16 : 1,016.24 = 672.08 : x
  2. Step 2: Convert to fraction form
    677.16/1,016.24 = 672.08/x
  3. Step 3: Cross multiply
    677.16x = 1,016.24 × 672.08
  4. Step 4: Simplify right side
    677.16x = 682,986.14
  5. Step 5: Solve for x
    x = 682,986.14/677.16
  6. Step 6: Final answer
    x = 1,008.60

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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.