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Finding the Fourth Proportional to 837.06, 1,255.58 and 317.04

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Solution

The fourth proportional to 837.06, 1,255.58 and 317.04 is: 475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.06 : 1,255.58 = 317.04 : x
  2. Step 2: Convert to fraction form
    837.06/1,255.58 = 317.04/x
  3. Step 3: Cross multiply
    837.06x = 1,255.58 × 317.04
  4. Step 4: Simplify right side
    837.06x = 398,069.08
  5. Step 5: Solve for x
    x = 398,069.08/837.06
  6. Step 6: Final answer
    x = 475.56

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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.