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Finding the Fourth Proportional to 1,006.90, 1,513.42 and 985.37

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Solution

The fourth proportional to 1,006.90, 1,513.42 and 985.37 is: 1,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.90 : 1,513.42 = 985.37 : x
  2. Step 2: Convert to fraction form
    1,006.90/1,513.42 = 985.37/x
  3. Step 3: Cross multiply
    1,006.90x = 1,513.42 × 985.37
  4. Step 4: Simplify right side
    1,006.90x = 1,491,268.63
  5. Step 5: Solve for x
    x = 1,491,268.63/1,006.90
  6. Step 6: Final answer
    x = 1,481.05

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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.