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Finding the Fourth Proportional to 677.73, 1,017.18 and 445.96

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Solution

The fourth proportional to 677.73, 1,017.18 and 445.96 is: 669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.73 : 1,017.18 = 445.96 : x
  2. Step 2: Convert to fraction form
    677.73/1,017.18 = 445.96/x
  3. Step 3: Cross multiply
    677.73x = 1,017.18 × 445.96
  4. Step 4: Simplify right side
    677.73x = 453,621.59
  5. Step 5: Solve for x
    x = 453,621.59/677.73
  6. Step 6: Final answer
    x = 669.32

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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.