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Finding the Fourth Proportional to 1,298.56, 1,792 and 709.09

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Solution

The fourth proportional to 1,298.56, 1,792 and 709.09 is: 978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.56 : 1,792 = 709.09 : x
  2. Step 2: Convert to fraction form
    1,298.56/1,792 = 709.09/x
  3. Step 3: Cross multiply
    1,298.56x = 1,792 × 709.09
  4. Step 4: Simplify right side
    1,298.56x = 1,270,689.28
  5. Step 5: Solve for x
    x = 1,270,689.28/1,298.56
  6. Step 6: Final answer
    x = 978.54

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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.