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Finding the Fourth Proportional to 847.05, 1,169.13 and 551.81

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Solution

The fourth proportional to 847.05, 1,169.13 and 551.81 is: 761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.05 : 1,169.13 = 551.81 : x
  2. Step 2: Convert to fraction form
    847.05/1,169.13 = 551.81/x
  3. Step 3: Cross multiply
    847.05x = 1,169.13 × 551.81
  4. Step 4: Simplify right side
    847.05x = 645,137.63
  5. Step 5: Solve for x
    x = 645,137.63/847.05
  6. Step 6: Final answer
    x = 761.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.