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Finding the Fourth Proportional to 1,216.41, 1,824.65 and 394.77

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Solution

The fourth proportional to 1,216.41, 1,824.65 and 394.77 is: 592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.41 : 1,824.65 = 394.77 : x
  2. Step 2: Convert to fraction form
    1,216.41/1,824.65 = 394.77/x
  3. Step 3: Cross multiply
    1,216.41x = 1,824.65 × 394.77
  4. Step 4: Simplify right side
    1,216.41x = 720,317.08
  5. Step 5: Solve for x
    x = 720,317.08/1,216.41
  6. Step 6: Final answer
    x = 592.17

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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.