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Finding the Fourth Proportional to 878.26, 1,315.77 and 445.72

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Solution

The fourth proportional to 878.26, 1,315.77 and 445.72 is: 667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.26 : 1,315.77 = 445.72 : x
  2. Step 2: Convert to fraction form
    878.26/1,315.77 = 445.72/x
  3. Step 3: Cross multiply
    878.26x = 1,315.77 × 445.72
  4. Step 4: Simplify right side
    878.26x = 586,465.00
  5. Step 5: Solve for x
    x = 586,465.00/878.26
  6. Step 6: Final answer
    x = 667.76

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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.