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Finding the Fourth Proportional to 853.75, 1,178.81 and 522.63

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Solution

The fourth proportional to 853.75, 1,178.81 and 522.63 is: 721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.75 : 1,178.81 = 522.63 : x
  2. Step 2: Convert to fraction form
    853.75/1,178.81 = 522.63/x
  3. Step 3: Cross multiply
    853.75x = 1,178.81 × 522.63
  4. Step 4: Simplify right side
    853.75x = 616,080.82
  5. Step 5: Solve for x
    x = 616,080.82/853.75
  6. Step 6: Final answer
    x = 721.62

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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.