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Finding the Fourth Proportional to 864.66, 1,297.18 and 316.83

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Solution

The fourth proportional to 864.66, 1,297.18 and 316.83 is: 475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.66 : 1,297.18 = 316.83 : x
  2. Step 2: Convert to fraction form
    864.66/1,297.18 = 316.83/x
  3. Step 3: Cross multiply
    864.66x = 1,297.18 × 316.83
  4. Step 4: Simplify right side
    864.66x = 410,985.54
  5. Step 5: Solve for x
    x = 410,985.54/864.66
  6. Step 6: Final answer
    x = 475.31

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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.