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Finding the Fourth Proportional to 838.08, 1,253.94 and 507.81

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Solution

The fourth proportional to 838.08, 1,253.94 and 507.81 is: 759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.08 : 1,253.94 = 507.81 : x
  2. Step 2: Convert to fraction form
    838.08/1,253.94 = 507.81/x
  3. Step 3: Cross multiply
    838.08x = 1,253.94 × 507.81
  4. Step 4: Simplify right side
    838.08x = 636,763.27
  5. Step 5: Solve for x
    x = 636,763.27/838.08
  6. Step 6: Final answer
    x = 759.79

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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.