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Finding the Fourth Proportional to 837.16, 1,253.09 and 470.86

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Solution

The fourth proportional to 837.16, 1,253.09 and 470.86 is: 704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.16 : 1,253.09 = 470.86 : x
  2. Step 2: Convert to fraction form
    837.16/1,253.09 = 470.86/x
  3. Step 3: Cross multiply
    837.16x = 1,253.09 × 470.86
  4. Step 4: Simplify right side
    837.16x = 590,027.60
  5. Step 5: Solve for x
    x = 590,027.60/837.16
  6. Step 6: Final answer
    x = 704.80

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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.