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Finding the Fourth Proportional to 810.83, 1,216.26 and 317.17

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Solution

The fourth proportional to 810.83, 1,216.26 and 317.17 is: 475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.83 : 1,216.26 = 317.17 : x
  2. Step 2: Convert to fraction form
    810.83/1,216.26 = 317.17/x
  3. Step 3: Cross multiply
    810.83x = 1,216.26 × 317.17
  4. Step 4: Simplify right side
    810.83x = 385,761.18
  5. Step 5: Solve for x
    x = 385,761.18/810.83
  6. Step 6: Final answer
    x = 475.76

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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.