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Finding the Fourth Proportional to 1,229.44, 1,696.70 and 705.50

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Solution

The fourth proportional to 1,229.44, 1,696.70 and 705.50 is: 973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.44 : 1,696.70 = 705.50 : x
  2. Step 2: Convert to fraction form
    1,229.44/1,696.70 = 705.50/x
  3. Step 3: Cross multiply
    1,229.44x = 1,696.70 × 705.50
  4. Step 4: Simplify right side
    1,229.44x = 1,197,022.56
  5. Step 5: Solve for x
    x = 1,197,022.56/1,229.44
  6. Step 6: Final answer
    x = 973.63

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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.