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Finding the Fourth Proportional to 1,202.84, 1,804.04 and 380.99

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Solution

The fourth proportional to 1,202.84, 1,804.04 and 380.99 is: 571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.84 : 1,804.04 = 380.99 : x
  2. Step 2: Convert to fraction form
    1,202.84/1,804.04 = 380.99/x
  3. Step 3: Cross multiply
    1,202.84x = 1,804.04 × 380.99
  4. Step 4: Simplify right side
    1,202.84x = 687,312.18
  5. Step 5: Solve for x
    x = 687,312.18/1,202.84
  6. Step 6: Final answer
    x = 571.41

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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.