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Finding the Fourth Proportional to 1,236.70, 1,706.66 and 677.18

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Solution

The fourth proportional to 1,236.70, 1,706.66 and 677.18 is: 934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.70 : 1,706.66 = 677.18 : x
  2. Step 2: Convert to fraction form
    1,236.70/1,706.66 = 677.18/x
  3. Step 3: Cross multiply
    1,236.70x = 1,706.66 × 677.18
  4. Step 4: Simplify right side
    1,236.70x = 1,155,716.02
  5. Step 5: Solve for x
    x = 1,155,716.02/1,236.70
  6. Step 6: Final answer
    x = 934.52

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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.