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Finding the Fourth Proportional to 878.04, 1,316.94 and 513

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Solution

The fourth proportional to 878.04, 1,316.94 and 513 is: 769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.04 : 1,316.94 = 513 : x
  2. Step 2: Convert to fraction form
    878.04/1,316.94 = 513/x
  3. Step 3: Cross multiply
    878.04x = 1,316.94 × 513
  4. Step 4: Simplify right side
    878.04x = 675,590.22
  5. Step 5: Solve for x
    x = 675,590.22/878.04
  6. Step 6: Final answer
    x = 769.43

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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.