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Finding the Fourth Proportional to 1,298.88, 1,792.46 and 709.41

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Solution

The fourth proportional to 1,298.88, 1,792.46 and 709.41 is: 978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.88 : 1,792.46 = 709.41 : x
  2. Step 2: Convert to fraction form
    1,298.88/1,792.46 = 709.41/x
  3. Step 3: Cross multiply
    1,298.88x = 1,792.46 × 709.41
  4. Step 4: Simplify right side
    1,298.88x = 1,271,589.05
  5. Step 5: Solve for x
    x = 1,271,589.05/1,298.88
  6. Step 6: Final answer
    x = 978.99

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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.