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Finding the Fourth Proportional to 1,285.97, 1,925.86 and 873.86

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Solution

The fourth proportional to 1,285.97, 1,925.86 and 873.86 is: 1,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.97 : 1,925.86 = 873.86 : x
  2. Step 2: Convert to fraction form
    1,285.97/1,925.86 = 873.86/x
  3. Step 3: Cross multiply
    1,285.97x = 1,925.86 × 873.86
  4. Step 4: Simplify right side
    1,285.97x = 1,682,932.02
  5. Step 5: Solve for x
    x = 1,682,932.02/1,285.97
  6. Step 6: Final answer
    x = 1,308.69

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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.