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Finding the Fourth Proportional to 837.72, 1,256.67 and 509.22

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Solution

The fourth proportional to 837.72, 1,256.67 and 509.22 is: 763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.72 : 1,256.67 = 509.22 : x
  2. Step 2: Convert to fraction form
    837.72/1,256.67 = 509.22/x
  3. Step 3: Cross multiply
    837.72x = 1,256.67 × 509.22
  4. Step 4: Simplify right side
    837.72x = 639,921.50
  5. Step 5: Solve for x
    x = 639,921.50/837.72
  6. Step 6: Final answer
    x = 763.88

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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.