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Finding the Fourth Proportional to 1,223.50, 1,832.50 and 735.52

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Solution

The fourth proportional to 1,223.50, 1,832.50 and 735.52 is: 1,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.50 : 1,832.50 = 735.52 : x
  2. Step 2: Convert to fraction form
    1,223.50/1,832.50 = 735.52/x
  3. Step 3: Cross multiply
    1,223.50x = 1,832.50 × 735.52
  4. Step 4: Simplify right side
    1,223.50x = 1,347,840.40
  5. Step 5: Solve for x
    x = 1,347,840.40/1,223.50
  6. Step 6: Final answer
    x = 1,101.63

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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.