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Finding the Fourth Proportional to 1,216.30, 1,824.75 and 350.68

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Solution

The fourth proportional to 1,216.30, 1,824.75 and 350.68 is: 526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.30 : 1,824.75 = 350.68 : x
  2. Step 2: Convert to fraction form
    1,216.30/1,824.75 = 350.68/x
  3. Step 3: Cross multiply
    1,216.30x = 1,824.75 × 350.68
  4. Step 4: Simplify right side
    1,216.30x = 639,903.33
  5. Step 5: Solve for x
    x = 639,903.33/1,216.30
  6. Step 6: Final answer
    x = 526.11

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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.