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Finding the Fourth Proportional to 1,298.52, 1,791.98 and 709.06

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Solution

The fourth proportional to 1,298.52, 1,791.98 and 709.06 is: 978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.52 : 1,791.98 = 709.06 : x
  2. Step 2: Convert to fraction form
    1,298.52/1,791.98 = 709.06/x
  3. Step 3: Cross multiply
    1,298.52x = 1,791.98 × 709.06
  4. Step 4: Simplify right side
    1,298.52x = 1,270,621.34
  5. Step 5: Solve for x
    x = 1,270,621.34/1,298.52
  6. Step 6: Final answer
    x = 978.52

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