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Finding the Fourth Proportional to 878.34, 1,314.41 and 646.68

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Solution

The fourth proportional to 878.34, 1,314.41 and 646.68 is: 967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.34 : 1,314.41 = 646.68 : x
  2. Step 2: Convert to fraction form
    878.34/1,314.41 = 646.68/x
  3. Step 3: Cross multiply
    878.34x = 1,314.41 × 646.68
  4. Step 4: Simplify right side
    878.34x = 849,999.43
  5. Step 5: Solve for x
    x = 849,999.43/878.34
  6. Step 6: Final answer
    x = 967.73

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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.