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Finding the Fourth Proportional to 864.12, 1,295.34 and 498.30

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Solution

The fourth proportional to 864.12, 1,295.34 and 498.30 is: 746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.12 : 1,295.34 = 498.30 : x
  2. Step 2: Convert to fraction form
    864.12/1,295.34 = 498.30/x
  3. Step 3: Cross multiply
    864.12x = 1,295.34 × 498.30
  4. Step 4: Simplify right side
    864.12x = 645,467.92
  5. Step 5: Solve for x
    x = 645,467.92/864.12
  6. Step 6: Final answer
    x = 746.97

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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.