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Finding the Fourth Proportional to 838.08, 1,255.52 and 509.12

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Solution

The fourth proportional to 838.08, 1,255.52 and 509.12 is: 762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.08 : 1,255.52 = 509.12 : x
  2. Step 2: Convert to fraction form
    838.08/1,255.52 = 509.12/x
  3. Step 3: Cross multiply
    838.08x = 1,255.52 × 509.12
  4. Step 4: Simplify right side
    838.08x = 639,210.34
  5. Step 5: Solve for x
    x = 639,210.34/838.08
  6. Step 6: Final answer
    x = 762.71

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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.