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Finding the Fourth Proportional to 1,202.94, 1,802.66 and 832.37

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Solution

The fourth proportional to 1,202.94, 1,802.66 and 832.37 is: 1,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.94 : 1,802.66 = 832.37 : x
  2. Step 2: Convert to fraction form
    1,202.94/1,802.66 = 832.37/x
  3. Step 3: Cross multiply
    1,202.94x = 1,802.66 × 832.37
  4. Step 4: Simplify right side
    1,202.94x = 1,500,466.93
  5. Step 5: Solve for x
    x = 1,500,466.93/1,202.94
  6. Step 6: Final answer
    x = 1,247.33

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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.