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Finding the Fourth Proportional to 837.33, 1,255.02 and 317.00

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Solution

The fourth proportional to 837.33, 1,255.02 and 317.00 is: 475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.33 : 1,255.02 = 317.00 : x
  2. Step 2: Convert to fraction form
    837.33/1,255.02 = 317.00/x
  3. Step 3: Cross multiply
    837.33x = 1,255.02 × 317.00
  4. Step 4: Simplify right side
    837.33x = 397,838.20
  5. Step 5: Solve for x
    x = 397,838.20/837.33
  6. Step 6: Final answer
    x = 475.13

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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.