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Finding the Fourth Proportional to 1,229.66, 1,696.96 and 705.70

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Solution

The fourth proportional to 1,229.66, 1,696.96 and 705.70 is: 973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.66 : 1,696.96 = 705.70 : x
  2. Step 2: Convert to fraction form
    1,229.66/1,696.96 = 705.70/x
  3. Step 3: Cross multiply
    1,229.66x = 1,696.96 × 705.70
  4. Step 4: Simplify right side
    1,229.66x = 1,197,544.67
  5. Step 5: Solve for x
    x = 1,197,544.67/1,229.66
  6. Step 6: Final answer
    x = 973.88

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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.