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Finding the Fourth Proportional to 863.08, 1,293.80 and 314.87

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Solution

The fourth proportional to 863.08, 1,293.80 and 314.87 is: 472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.08 : 1,293.80 = 314.87 : x
  2. Step 2: Convert to fraction form
    863.08/1,293.80 = 314.87/x
  3. Step 3: Cross multiply
    863.08x = 1,293.80 × 314.87
  4. Step 4: Simplify right side
    863.08x = 407,370.76
  5. Step 5: Solve for x
    x = 407,370.76/863.08
  6. Step 6: Final answer
    x = 472.00

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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.