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Finding the Fourth Proportional to 1,219.40, 1,827.90 and 603.20

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Solution

The fourth proportional to 1,219.40, 1,827.90 and 603.20 is: 904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.40 : 1,827.90 = 603.20 : x
  2. Step 2: Convert to fraction form
    1,219.40/1,827.90 = 603.20/x
  3. Step 3: Cross multiply
    1,219.40x = 1,827.90 × 603.20
  4. Step 4: Simplify right side
    1,219.40x = 1,102,589.28
  5. Step 5: Solve for x
    x = 1,102,589.28/1,219.40
  6. Step 6: Final answer
    x = 904.21

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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.