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Finding the Fourth Proportional to 862.45, 1,293.77 and 400.14

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Solution

The fourth proportional to 862.45, 1,293.77 and 400.14 is: 600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.45 : 1,293.77 = 400.14 : x
  2. Step 2: Convert to fraction form
    862.45/1,293.77 = 400.14/x
  3. Step 3: Cross multiply
    862.45x = 1,293.77 × 400.14
  4. Step 4: Simplify right side
    862.45x = 517,690.13
  5. Step 5: Solve for x
    x = 517,690.13/862.45
  6. Step 6: Final answer
    x = 600.26

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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.