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Finding the Fourth Proportional to 1,197.09, 1,647.49 and 1,013

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Solution

The fourth proportional to 1,197.09, 1,647.49 and 1,013 is: 1,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.09 : 1,647.49 = 1,013 : x
  2. Step 2: Convert to fraction form
    1,197.09/1,647.49 = 1,013/x
  3. Step 3: Cross multiply
    1,197.09x = 1,647.49 × 1,013
  4. Step 4: Simplify right side
    1,197.09x = 1,668,907.37
  5. Step 5: Solve for x
    x = 1,668,907.37/1,197.09
  6. Step 6: Final answer
    x = 1,394.14

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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.