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Finding the Fourth Proportional to 1,216.36, 1,824.63 and 350.74

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Solution

The fourth proportional to 1,216.36, 1,824.63 and 350.74 is: 526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.36 : 1,824.63 = 350.74 : x
  2. Step 2: Convert to fraction form
    1,216.36/1,824.63 = 350.74/x
  3. Step 3: Cross multiply
    1,216.36x = 1,824.63 × 350.74
  4. Step 4: Simplify right side
    1,216.36x = 639,970.73
  5. Step 5: Solve for x
    x = 639,970.73/1,216.36
  6. Step 6: Final answer
    x = 526.14

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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.