Home / 1,229.16-1,696.23-705.20

Finding the Fourth Proportional to 1,229.16, 1,696.23 and 705.20

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Solution

The fourth proportional to 1,229.16, 1,696.23 and 705.20 is: 973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.16 : 1,696.23 = 705.20 : x
  2. Step 2: Convert to fraction form
    1,229.16/1,696.23 = 705.20/x
  3. Step 3: Cross multiply
    1,229.16x = 1,696.23 × 705.20
  4. Step 4: Simplify right side
    1,229.16x = 1,196,172.91
  5. Step 5: Solve for x
    x = 1,196,172.91/1,229.16
  6. Step 6: Final answer
    x = 973.16

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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.