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Finding the Fourth Proportional to 1,216.48, 1,824.78 and 350.80

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Solution

The fourth proportional to 1,216.48, 1,824.78 and 350.80 is: 526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.48 : 1,824.78 = 350.80 : x
  2. Step 2: Convert to fraction form
    1,216.48/1,824.78 = 350.80/x
  3. Step 3: Cross multiply
    1,216.48x = 1,824.78 × 350.80
  4. Step 4: Simplify right side
    1,216.48x = 640,132.82
  5. Step 5: Solve for x
    x = 640,132.82/1,216.48
  6. Step 6: Final answer
    x = 526.22

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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.