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Finding the Fourth Proportional to 844.14, 1,165.02 and 608.04

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Solution

The fourth proportional to 844.14, 1,165.02 and 608.04 is: 839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.14 : 1,165.02 = 608.04 : x
  2. Step 2: Convert to fraction form
    844.14/1,165.02 = 608.04/x
  3. Step 3: Cross multiply
    844.14x = 1,165.02 × 608.04
  4. Step 4: Simplify right side
    844.14x = 708,378.76
  5. Step 5: Solve for x
    x = 708,378.76/844.14
  6. Step 6: Final answer
    x = 839.17

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Why These Related Problems?

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