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Finding the Fourth Proportional to 1,229.84, 1,844.77 and 685.48

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Solution

The fourth proportional to 1,229.84, 1,844.77 and 685.48 is: 1,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.84 : 1,844.77 = 685.48 : x
  2. Step 2: Convert to fraction form
    1,229.84/1,844.77 = 685.48/x
  3. Step 3: Cross multiply
    1,229.84x = 1,844.77 × 685.48
  4. Step 4: Simplify right side
    1,229.84x = 1,264,547.90
  5. Step 5: Solve for x
    x = 1,264,547.90/1,229.84
  6. Step 6: Final answer
    x = 1,028.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.