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Finding the Fourth Proportional to 677.71, 1,016.57 and 244.63

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Solution

The fourth proportional to 677.71, 1,016.57 and 244.63 is: 366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.71 : 1,016.57 = 244.63 : x
  2. Step 2: Convert to fraction form
    677.71/1,016.57 = 244.63/x
  3. Step 3: Cross multiply
    677.71x = 1,016.57 × 244.63
  4. Step 4: Simplify right side
    677.71x = 248,683.52
  5. Step 5: Solve for x
    x = 248,683.52/677.71
  6. Step 6: Final answer
    x = 366.95

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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.