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Finding the Fourth Proportional to 1,253.72, 1,730.13 and 694.15

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Solution

The fourth proportional to 1,253.72, 1,730.13 and 694.15 is: 957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.72 : 1,730.13 = 694.15 : x
  2. Step 2: Convert to fraction form
    1,253.72/1,730.13 = 694.15/x
  3. Step 3: Cross multiply
    1,253.72x = 1,730.13 × 694.15
  4. Step 4: Simplify right side
    1,253.72x = 1,200,969.74
  5. Step 5: Solve for x
    x = 1,200,969.74/1,253.72
  6. Step 6: Final answer
    x = 957.93

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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.