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Finding the Fourth Proportional to 1,222.02, 1,833.30 and 528.66

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Solution

The fourth proportional to 1,222.02, 1,833.30 and 528.66 is: 793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.02 : 1,833.30 = 528.66 : x
  2. Step 2: Convert to fraction form
    1,222.02/1,833.30 = 528.66/x
  3. Step 3: Cross multiply
    1,222.02x = 1,833.30 × 528.66
  4. Step 4: Simplify right side
    1,222.02x = 969,192.38
  5. Step 5: Solve for x
    x = 969,192.38/1,222.02
  6. Step 6: Final answer
    x = 793.11

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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.