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Finding the Fourth Proportional to 1,222.58, 1,834.27 and 491.96

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Solution

The fourth proportional to 1,222.58, 1,834.27 and 491.96 is: 738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.58 : 1,834.27 = 491.96 : x
  2. Step 2: Convert to fraction form
    1,222.58/1,834.27 = 491.96/x
  3. Step 3: Cross multiply
    1,222.58x = 1,834.27 × 491.96
  4. Step 4: Simplify right side
    1,222.58x = 902,387.47
  5. Step 5: Solve for x
    x = 902,387.47/1,222.58
  6. Step 6: Final answer
    x = 738.10

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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.