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Finding the Fourth Proportional to 1,236.70, 1,706.69 and 705.56

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Solution

The fourth proportional to 1,236.70, 1,706.69 and 705.56 is: 973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.70 : 1,706.69 = 705.56 : x
  2. Step 2: Convert to fraction form
    1,236.70/1,706.69 = 705.56/x
  3. Step 3: Cross multiply
    1,236.70x = 1,706.69 × 705.56
  4. Step 4: Simplify right side
    1,236.70x = 1,204,178.23
  5. Step 5: Solve for x
    x = 1,204,178.23/1,236.70
  6. Step 6: Final answer
    x = 973.70

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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.