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Finding the Fourth Proportional to 1,223.62, 1,832.30 and 675.22

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Solution

The fourth proportional to 1,223.62, 1,832.30 and 675.22 is: 1,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.62 : 1,832.30 = 675.22 : x
  2. Step 2: Convert to fraction form
    1,223.62/1,832.30 = 675.22/x
  3. Step 3: Cross multiply
    1,223.62x = 1,832.30 × 675.22
  4. Step 4: Simplify right side
    1,223.62x = 1,237,205.61
  5. Step 5: Solve for x
    x = 1,237,205.61/1,223.62
  6. Step 6: Final answer
    x = 1,011.10

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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.