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Finding the Fourth Proportional to 1,435.46, 1,980.63 and 938.83

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Solution

The fourth proportional to 1,435.46, 1,980.63 and 938.83 is: 1,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.46 : 1,980.63 = 938.83 : x
  2. Step 2: Convert to fraction form
    1,435.46/1,980.63 = 938.83/x
  3. Step 3: Cross multiply
    1,435.46x = 1,980.63 × 938.83
  4. Step 4: Simplify right side
    1,435.46x = 1,859,469.91
  5. Step 5: Solve for x
    x = 1,859,469.91/1,435.46
  6. Step 6: Final answer
    x = 1,295.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.