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Finding the Fourth Proportional to 1,216.34, 1,824.66 and 350.66

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Solution

The fourth proportional to 1,216.34, 1,824.66 and 350.66 is: 526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.34 : 1,824.66 = 350.66 : x
  2. Step 2: Convert to fraction form
    1,216.34/1,824.66 = 350.66/x
  3. Step 3: Cross multiply
    1,216.34x = 1,824.66 × 350.66
  4. Step 4: Simplify right side
    1,216.34x = 639,835.28
  5. Step 5: Solve for x
    x = 639,835.28/1,216.34
  6. Step 6: Final answer
    x = 526.03

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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.