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Finding the Fourth Proportional to 1,230.09, 1,698.14 and 839.17

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Solution

The fourth proportional to 1,230.09, 1,698.14 and 839.17 is: 1,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.09 : 1,698.14 = 839.17 : x
  2. Step 2: Convert to fraction form
    1,230.09/1,698.14 = 839.17/x
  3. Step 3: Cross multiply
    1,230.09x = 1,698.14 × 839.17
  4. Step 4: Simplify right side
    1,230.09x = 1,425,019.70
  5. Step 5: Solve for x
    x = 1,425,019.70/1,230.09
  6. Step 6: Final answer
    x = 1,158.47

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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.