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Finding the Fourth Proportional to 864.83, 1,297.04 and 316.71

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Solution

The fourth proportional to 864.83, 1,297.04 and 316.71 is: 474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.83 : 1,297.04 = 316.71 : x
  2. Step 2: Convert to fraction form
    864.83/1,297.04 = 316.71/x
  3. Step 3: Cross multiply
    864.83x = 1,297.04 × 316.71
  4. Step 4: Simplify right side
    864.83x = 410,783.95
  5. Step 5: Solve for x
    x = 410,783.95/864.83
  6. Step 6: Final answer
    x = 474.99

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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.