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Finding the Fourth Proportional to 1,223.84, 1,835.15 and 736.62

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Solution

The fourth proportional to 1,223.84, 1,835.15 and 736.62 is: 1,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.84 : 1,835.15 = 736.62 : x
  2. Step 2: Convert to fraction form
    1,223.84/1,835.15 = 736.62/x
  3. Step 3: Cross multiply
    1,223.84x = 1,835.15 × 736.62
  4. Step 4: Simplify right side
    1,223.84x = 1,351,804.51
  5. Step 5: Solve for x
    x = 1,351,804.51/1,223.84
  6. Step 6: Final answer
    x = 1,104.56

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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.