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Finding the Fourth Proportional to 853.34, 1,282.43 and 506.76

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Solution

The fourth proportional to 853.34, 1,282.43 and 506.76 is: 761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.34 : 1,282.43 = 506.76 : x
  2. Step 2: Convert to fraction form
    853.34/1,282.43 = 506.76/x
  3. Step 3: Cross multiply
    853.34x = 1,282.43 × 506.76
  4. Step 4: Simplify right side
    853.34x = 649,880.68
  5. Step 5: Solve for x
    x = 649,880.68/853.34
  6. Step 6: Final answer
    x = 761.58

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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.