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Finding the Fourth Proportional to 863.29, 1,295.03 and 424.70

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Solution

The fourth proportional to 863.29, 1,295.03 and 424.70 is: 637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.29 : 1,295.03 = 424.70 : x
  2. Step 2: Convert to fraction form
    863.29/1,295.03 = 424.70/x
  3. Step 3: Cross multiply
    863.29x = 1,295.03 × 424.70
  4. Step 4: Simplify right side
    863.29x = 549,999.24
  5. Step 5: Solve for x
    x = 549,999.24/863.29
  6. Step 6: Final answer
    x = 637.10

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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.