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Finding the Fourth Proportional to 853.71, 1,282.97 and 507.11

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Solution

The fourth proportional to 853.71, 1,282.97 and 507.11 is: 762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.71 : 1,282.97 = 507.11 : x
  2. Step 2: Convert to fraction form
    853.71/1,282.97 = 507.11/x
  3. Step 3: Cross multiply
    853.71x = 1,282.97 × 507.11
  4. Step 4: Simplify right side
    853.71x = 650,601.77
  5. Step 5: Solve for x
    x = 650,601.77/853.71
  6. Step 6: Final answer
    x = 762.09

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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.