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Finding the Fourth Proportional to 1,307.23, 1,961.49 and 613.96

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Solution

The fourth proportional to 1,307.23, 1,961.49 and 613.96 is: 921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.23 : 1,961.49 = 613.96 : x
  2. Step 2: Convert to fraction form
    1,307.23/1,961.49 = 613.96/x
  3. Step 3: Cross multiply
    1,307.23x = 1,961.49 × 613.96
  4. Step 4: Simplify right side
    1,307.23x = 1,204,276.40
  5. Step 5: Solve for x
    x = 1,204,276.40/1,307.23
  6. Step 6: Final answer
    x = 921.24

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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.