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Finding the Fourth Proportional to 917.39, 1,369.04 and 839.63

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Solution

The fourth proportional to 917.39, 1,369.04 and 839.63 is: 1,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.39 : 1,369.04 = 839.63 : x
  2. Step 2: Convert to fraction form
    917.39/1,369.04 = 839.63/x
  3. Step 3: Cross multiply
    917.39x = 1,369.04 × 839.63
  4. Step 4: Simplify right side
    917.39x = 1,149,486.28
  5. Step 5: Solve for x
    x = 1,149,486.28/917.39
  6. Step 6: Final answer
    x = 1,252.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.