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Finding the Fourth Proportional to 1,223.98, 1,834.17 and 964.60

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Solution

The fourth proportional to 1,223.98, 1,834.17 and 964.60 is: 1,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.98 : 1,834.17 = 964.60 : x
  2. Step 2: Convert to fraction form
    1,223.98/1,834.17 = 964.60/x
  3. Step 3: Cross multiply
    1,223.98x = 1,834.17 × 964.60
  4. Step 4: Simplify right side
    1,223.98x = 1,769,240.38
  5. Step 5: Solve for x
    x = 1,769,240.38/1,223.98
  6. Step 6: Final answer
    x = 1,445.48

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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.