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Finding the Fourth Proportional to 1,223.67, 1,835.49 and 401.93

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Solution

The fourth proportional to 1,223.67, 1,835.49 and 401.93 is: 602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.67 : 1,835.49 = 401.93 : x
  2. Step 2: Convert to fraction form
    1,223.67/1,835.49 = 401.93/x
  3. Step 3: Cross multiply
    1,223.67x = 1,835.49 × 401.93
  4. Step 4: Simplify right side
    1,223.67x = 737,734.32
  5. Step 5: Solve for x
    x = 737,734.32/1,223.67
  6. Step 6: Final answer
    x = 602.89

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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.