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Finding the Fourth Proportional to 1,222.58, 1,833.98 and 529.27

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Solution

The fourth proportional to 1,222.58, 1,833.98 and 529.27 is: 793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.58 : 1,833.98 = 529.27 : x
  2. Step 2: Convert to fraction form
    1,222.58/1,833.98 = 529.27/x
  3. Step 3: Cross multiply
    1,222.58x = 1,833.98 × 529.27
  4. Step 4: Simplify right side
    1,222.58x = 970,670.59
  5. Step 5: Solve for x
    x = 970,670.59/1,222.58
  6. Step 6: Final answer
    x = 793.95

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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.