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Finding the Fourth Proportional to 864.89, 1,296.71 and 317.09

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Solution

The fourth proportional to 864.89, 1,296.71 and 317.09 is: 475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.89 : 1,296.71 = 317.09 : x
  2. Step 2: Convert to fraction form
    864.89/1,296.71 = 317.09/x
  3. Step 3: Cross multiply
    864.89x = 1,296.71 × 317.09
  4. Step 4: Simplify right side
    864.89x = 411,165.70
  5. Step 5: Solve for x
    x = 411,165.70/864.89
  6. Step 6: Final answer
    x = 475.40

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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.