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Finding the Fourth Proportional to 1,220.29, 1,828.14 and 603.28

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Solution

The fourth proportional to 1,220.29, 1,828.14 and 603.28 is: 903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.29 : 1,828.14 = 603.28 : x
  2. Step 2: Convert to fraction form
    1,220.29/1,828.14 = 603.28/x
  3. Step 3: Cross multiply
    1,220.29x = 1,828.14 × 603.28
  4. Step 4: Simplify right side
    1,220.29x = 1,102,872.67
  5. Step 5: Solve for x
    x = 1,102,872.67/1,220.29
  6. Step 6: Final answer
    x = 903.78

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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.