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Finding the Fourth Proportional to 1,229.09, 1,696.16 and 705.13

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Solution

The fourth proportional to 1,229.09, 1,696.16 and 705.13 is: 973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.09 : 1,696.16 = 705.13 : x
  2. Step 2: Convert to fraction form
    1,229.09/1,696.16 = 705.13/x
  3. Step 3: Cross multiply
    1,229.09x = 1,696.16 × 705.13
  4. Step 4: Simplify right side
    1,229.09x = 1,196,013.30
  5. Step 5: Solve for x
    x = 1,196,013.30/1,229.09
  6. Step 6: Final answer
    x = 973.09

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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.