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Finding the Fourth Proportional to 1,219.69, 1,828.72 and 603.69

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Solution

The fourth proportional to 1,219.69, 1,828.72 and 603.69 is: 905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.69 : 1,828.72 = 603.69 : x
  2. Step 2: Convert to fraction form
    1,219.69/1,828.72 = 603.69/x
  3. Step 3: Cross multiply
    1,219.69x = 1,828.72 × 603.69
  4. Step 4: Simplify right side
    1,219.69x = 1,103,979.98
  5. Step 5: Solve for x
    x = 1,103,979.98/1,219.69
  6. Step 6: Final answer
    x = 905.13

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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.