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Finding the Fourth Proportional to 1,253.86, 1,730.17 and 694.25

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Solution

The fourth proportional to 1,253.86, 1,730.17 and 694.25 is: 957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.86 : 1,730.17 = 694.25 : x
  2. Step 2: Convert to fraction form
    1,253.86/1,730.17 = 694.25/x
  3. Step 3: Cross multiply
    1,253.86x = 1,730.17 × 694.25
  4. Step 4: Simplify right side
    1,253.86x = 1,201,170.52
  5. Step 5: Solve for x
    x = 1,201,170.52/1,253.86
  6. Step 6: Final answer
    x = 957.98

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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.