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Finding the Fourth Proportional to 1,391.14, 2,086.77 and 525.52

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Solution

The fourth proportional to 1,391.14, 2,086.77 and 525.52 is: 788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.14 : 2,086.77 = 525.52 : x
  2. Step 2: Convert to fraction form
    1,391.14/2,086.77 = 525.52/x
  3. Step 3: Cross multiply
    1,391.14x = 2,086.77 × 525.52
  4. Step 4: Simplify right side
    1,391.14x = 1,096,639.37
  5. Step 5: Solve for x
    x = 1,096,639.37/1,391.14
  6. Step 6: Final answer
    x = 788.30

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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.