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Finding the Fourth Proportional to 1,223.73, 1,834.23 and 529.36

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Solution

The fourth proportional to 1,223.73, 1,834.23 and 529.36 is: 793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.73 : 1,834.23 = 529.36 : x
  2. Step 2: Convert to fraction form
    1,223.73/1,834.23 = 529.36/x
  3. Step 3: Cross multiply
    1,223.73x = 1,834.23 × 529.36
  4. Step 4: Simplify right side
    1,223.73x = 970,963.41
  5. Step 5: Solve for x
    x = 970,963.41/1,223.73
  6. Step 6: Final answer
    x = 793.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.