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Finding the Fourth Proportional to 1,228.89, 1,843.47 and 613.02

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Solution

The fourth proportional to 1,228.89, 1,843.47 and 613.02 is: 919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.89 : 1,843.47 = 613.02 : x
  2. Step 2: Convert to fraction form
    1,228.89/1,843.47 = 613.02/x
  3. Step 3: Cross multiply
    1,228.89x = 1,843.47 × 613.02
  4. Step 4: Simplify right side
    1,228.89x = 1,130,083.98
  5. Step 5: Solve for x
    x = 1,130,083.98/1,228.89
  6. Step 6: Final answer
    x = 919.60

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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.