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Finding the Fourth Proportional to 1,298.34, 1,791.68 and 708.89

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Solution

The fourth proportional to 1,298.34, 1,791.68 and 708.89 is: 978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.34 : 1,791.68 = 708.89 : x
  2. Step 2: Convert to fraction form
    1,298.34/1,791.68 = 708.89/x
  3. Step 3: Cross multiply
    1,298.34x = 1,791.68 × 708.89
  4. Step 4: Simplify right side
    1,298.34x = 1,270,091.53
  5. Step 5: Solve for x
    x = 1,270,091.53/1,298.34
  6. Step 6: Final answer
    x = 978.24

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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.