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Finding the Fourth Proportional to 1,254.27, 1,730.78 and 694.77

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Solution

The fourth proportional to 1,254.27, 1,730.78 and 694.77 is: 958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.27 : 1,730.78 = 694.77 : x
  2. Step 2: Convert to fraction form
    1,254.27/1,730.78 = 694.77/x
  3. Step 3: Cross multiply
    1,254.27x = 1,730.78 × 694.77
  4. Step 4: Simplify right side
    1,254.27x = 1,202,494.02
  5. Step 5: Solve for x
    x = 1,202,494.02/1,254.27
  6. Step 6: Final answer
    x = 958.72

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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.