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Finding the Fourth Proportional to 1,223.04, 1,687.80 and 699.08

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Solution

The fourth proportional to 1,223.04, 1,687.80 and 699.08 is: 964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.04 : 1,687.80 = 699.08 : x
  2. Step 2: Convert to fraction form
    1,223.04/1,687.80 = 699.08/x
  3. Step 3: Cross multiply
    1,223.04x = 1,687.80 × 699.08
  4. Step 4: Simplify right side
    1,223.04x = 1,179,907.22
  5. Step 5: Solve for x
    x = 1,179,907.22/1,223.04
  6. Step 6: Final answer
    x = 964.73

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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.