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Finding the Fourth Proportional to 1,254.09, 1,730.43 and 694.47

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Solution

The fourth proportional to 1,254.09, 1,730.43 and 694.47 is: 958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.09 : 1,730.43 = 694.47 : x
  2. Step 2: Convert to fraction form
    1,254.09/1,730.43 = 694.47/x
  3. Step 3: Cross multiply
    1,254.09x = 1,730.43 × 694.47
  4. Step 4: Simplify right side
    1,254.09x = 1,201,731.72
  5. Step 5: Solve for x
    x = 1,201,731.72/1,254.09
  6. Step 6: Final answer
    x = 958.25

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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.