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Finding the Fourth Proportional to 1,307.93, 1,961.26 and 760.26

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Solution

The fourth proportional to 1,307.93, 1,961.26 and 760.26 is: 1,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.93 : 1,961.26 = 760.26 : x
  2. Step 2: Convert to fraction form
    1,307.93/1,961.26 = 760.26/x
  3. Step 3: Cross multiply
    1,307.93x = 1,961.26 × 760.26
  4. Step 4: Simplify right side
    1,307.93x = 1,491,067.53
  5. Step 5: Solve for x
    x = 1,491,067.53/1,307.93
  6. Step 6: Final answer
    x = 1,140.02

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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.