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Finding the Fourth Proportional to 1,236.71, 1,706.67 and 677.17

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Solution

The fourth proportional to 1,236.71, 1,706.67 and 677.17 is: 934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.71 : 1,706.67 = 677.17 : x
  2. Step 2: Convert to fraction form
    1,236.71/1,706.67 = 677.17/x
  3. Step 3: Cross multiply
    1,236.71x = 1,706.67 × 677.17
  4. Step 4: Simplify right side
    1,236.71x = 1,155,699.73
  5. Step 5: Solve for x
    x = 1,155,699.73/1,236.71
  6. Step 6: Final answer
    x = 934.50

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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.