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Finding the Fourth Proportional to 878.36, 1,317.72 and 650.24

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Solution

The fourth proportional to 878.36, 1,317.72 and 650.24 is: 975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.36 : 1,317.72 = 650.24 : x
  2. Step 2: Convert to fraction form
    878.36/1,317.72 = 650.24/x
  3. Step 3: Cross multiply
    878.36x = 1,317.72 × 650.24
  4. Step 4: Simplify right side
    878.36x = 856,834.25
  5. Step 5: Solve for x
    x = 856,834.25/878.36
  6. Step 6: Final answer
    x = 975.49

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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.