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Finding the Fourth Proportional to 863.01, 1,293.45 and 400.15

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Solution

The fourth proportional to 863.01, 1,293.45 and 400.15 is: 599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.01 : 1,293.45 = 400.15 : x
  2. Step 2: Convert to fraction form
    863.01/1,293.45 = 400.15/x
  3. Step 3: Cross multiply
    863.01x = 1,293.45 × 400.15
  4. Step 4: Simplify right side
    863.01x = 517,574.13
  5. Step 5: Solve for x
    x = 517,574.13/863.01
  6. Step 6: Final answer
    x = 599.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.