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Finding the Fourth Proportional to 1,223.43, 1,834.94 and 345.99

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Solution

The fourth proportional to 1,223.43, 1,834.94 and 345.99 is: 518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.43 : 1,834.94 = 345.99 : x
  2. Step 2: Convert to fraction form
    1,223.43/1,834.94 = 345.99/x
  3. Step 3: Cross multiply
    1,223.43x = 1,834.94 × 345.99
  4. Step 4: Simplify right side
    1,223.43x = 634,869.16
  5. Step 5: Solve for x
    x = 634,869.16/1,223.43
  6. Step 6: Final answer
    x = 518.93

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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.