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Finding the Fourth Proportional to 878.27, 1,316.66 and 512.64

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Solution

The fourth proportional to 878.27, 1,316.66 and 512.64 is: 768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.27 : 1,316.66 = 512.64 : x
  2. Step 2: Convert to fraction form
    878.27/1,316.66 = 512.64/x
  3. Step 3: Cross multiply
    878.27x = 1,316.66 × 512.64
  4. Step 4: Simplify right side
    878.27x = 674,970.02
  5. Step 5: Solve for x
    x = 674,970.02/878.27
  6. Step 6: Final answer
    x = 768.53

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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.