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Finding the Fourth Proportional to 1,254.16, 1,730.60 and 694.64

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Solution

The fourth proportional to 1,254.16, 1,730.60 and 694.64 is: 958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.16 : 1,730.60 = 694.64 : x
  2. Step 2: Convert to fraction form
    1,254.16/1,730.60 = 694.64/x
  3. Step 3: Cross multiply
    1,254.16x = 1,730.60 × 694.64
  4. Step 4: Simplify right side
    1,254.16x = 1,202,143.98
  5. Step 5: Solve for x
    x = 1,202,143.98/1,254.16
  6. Step 6: Final answer
    x = 958.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.