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Finding the Fourth Proportional to 1,391.33, 1,919.96 and 761.86

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Solution

The fourth proportional to 1,391.33, 1,919.96 and 761.86 is: 1,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.33 : 1,919.96 = 761.86 : x
  2. Step 2: Convert to fraction form
    1,391.33/1,919.96 = 761.86/x
  3. Step 3: Cross multiply
    1,391.33x = 1,919.96 × 761.86
  4. Step 4: Simplify right side
    1,391.33x = 1,462,740.73
  5. Step 5: Solve for x
    x = 1,462,740.73/1,391.33
  6. Step 6: Final answer
    x = 1,051.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.