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Finding the Fourth Proportional to 1,219.13, 1,827.87 and 603.23

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Solution

The fourth proportional to 1,219.13, 1,827.87 and 603.23 is: 904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.13 : 1,827.87 = 603.23 : x
  2. Step 2: Convert to fraction form
    1,219.13/1,827.87 = 603.23/x
  3. Step 3: Cross multiply
    1,219.13x = 1,827.87 × 603.23
  4. Step 4: Simplify right side
    1,219.13x = 1,102,616.88
  5. Step 5: Solve for x
    x = 1,102,616.88/1,219.13
  6. Step 6: Final answer
    x = 904.43

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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.