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Finding the Fourth Proportional to 1,216.76, 1,824.95 and 394.92

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Solution

The fourth proportional to 1,216.76, 1,824.95 and 394.92 is: 592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.76 : 1,824.95 = 394.92 : x
  2. Step 2: Convert to fraction form
    1,216.76/1,824.95 = 394.92/x
  3. Step 3: Cross multiply
    1,216.76x = 1,824.95 × 394.92
  4. Step 4: Simplify right side
    1,216.76x = 720,710.24
  5. Step 5: Solve for x
    x = 720,710.24/1,216.76
  6. Step 6: Final answer
    x = 592.32

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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.