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Finding the Fourth Proportional to 836.59, 1,254.27 and 692

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Solution

The fourth proportional to 836.59, 1,254.27 and 692 is: 1,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.59 : 1,254.27 = 692 : x
  2. Step 2: Convert to fraction form
    836.59/1,254.27 = 692/x
  3. Step 3: Cross multiply
    836.59x = 1,254.27 × 692
  4. Step 4: Simplify right side
    836.59x = 867,954.84
  5. Step 5: Solve for x
    x = 867,954.84/836.59
  6. Step 6: Final answer
    x = 1,037.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.