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Finding the Fourth Proportional to 844.10, 1,164.93 and 494.90

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Solution

The fourth proportional to 844.10, 1,164.93 and 494.90 is: 683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.10 : 1,164.93 = 494.90 : x
  2. Step 2: Convert to fraction form
    844.10/1,164.93 = 494.90/x
  3. Step 3: Cross multiply
    844.10x = 1,164.93 × 494.90
  4. Step 4: Simplify right side
    844.10x = 576,523.86
  5. Step 5: Solve for x
    x = 576,523.86/844.10
  6. Step 6: Final answer
    x = 683.00

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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.