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Finding the Fourth Proportional to 1,223.19, 1,833.57 and 605.97

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Solution

The fourth proportional to 1,223.19, 1,833.57 and 605.97 is: 908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.19 : 1,833.57 = 605.97 : x
  2. Step 2: Convert to fraction form
    1,223.19/1,833.57 = 605.97/x
  3. Step 3: Cross multiply
    1,223.19x = 1,833.57 × 605.97
  4. Step 4: Simplify right side
    1,223.19x = 1,111,088.41
  5. Step 5: Solve for x
    x = 1,111,088.41/1,223.19
  6. Step 6: Final answer
    x = 908.35

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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.