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Finding the Fourth Proportional to 1,223.22, 1,834.40 and 783.84

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Solution

The fourth proportional to 1,223.22, 1,834.40 and 783.84 is: 1,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.22 : 1,834.40 = 783.84 : x
  2. Step 2: Convert to fraction form
    1,223.22/1,834.40 = 783.84/x
  3. Step 3: Cross multiply
    1,223.22x = 1,834.40 × 783.84
  4. Step 4: Simplify right side
    1,223.22x = 1,437,876.10
  5. Step 5: Solve for x
    x = 1,437,876.10/1,223.22
  6. Step 6: Final answer
    x = 1,175.48

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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.