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Finding the Fourth Proportional to 835.77, 1,258.36 and 689.21

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Solution

The fourth proportional to 835.77, 1,258.36 and 689.21 is: 1,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.77 : 1,258.36 = 689.21 : x
  2. Step 2: Convert to fraction form
    835.77/1,258.36 = 689.21/x
  3. Step 3: Cross multiply
    835.77x = 1,258.36 × 689.21
  4. Step 4: Simplify right side
    835.77x = 867,272.94
  5. Step 5: Solve for x
    x = 867,272.94/835.77
  6. Step 6: Final answer
    x = 1,037.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.