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Finding the Fourth Proportional to 1,202.93, 1,804.41 and 959.93

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Solution

The fourth proportional to 1,202.93, 1,804.41 and 959.93 is: 1,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.93 : 1,804.41 = 959.93 : x
  2. Step 2: Convert to fraction form
    1,202.93/1,804.41 = 959.93/x
  3. Step 3: Cross multiply
    1,202.93x = 1,804.41 × 959.93
  4. Step 4: Simplify right side
    1,202.93x = 1,732,107.29
  5. Step 5: Solve for x
    x = 1,732,107.29/1,202.93
  6. Step 6: Final answer
    x = 1,439.91

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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.