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Finding the Fourth Proportional to 865.08, 1,298.00 and 317.14

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Solution

The fourth proportional to 865.08, 1,298.00 and 317.14 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.08 : 1,298.00 = 317.14 : x
  2. Step 2: Convert to fraction form
    865.08/1,298.00 = 317.14/x
  3. Step 3: Cross multiply
    865.08x = 1,298.00 × 317.14
  4. Step 4: Simplify right side
    865.08x = 411,645.27
  5. Step 5: Solve for x
    x = 411,645.27/865.08
  6. Step 6: Final answer
    x = 475.85

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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.