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Finding the Fourth Proportional to 1,222.19, 1,833.87 and 572.96

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Solution

The fourth proportional to 1,222.19, 1,833.87 and 572.96 is: 859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.19 : 1,833.87 = 572.96 : x
  2. Step 2: Convert to fraction form
    1,222.19/1,833.87 = 572.96/x
  3. Step 3: Cross multiply
    1,222.19x = 1,833.87 × 572.96
  4. Step 4: Simplify right side
    1,222.19x = 1,050,734.16
  5. Step 5: Solve for x
    x = 1,050,734.16/1,222.19
  6. Step 6: Final answer
    x = 859.71

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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.