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Finding the Fourth Proportional to 844.24, 1,165.50 and 494.92

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Solution

The fourth proportional to 844.24, 1,165.50 and 494.92 is: 683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.24 : 1,165.50 = 494.92 : x
  2. Step 2: Convert to fraction form
    844.24/1,165.50 = 494.92/x
  3. Step 3: Cross multiply
    844.24x = 1,165.50 × 494.92
  4. Step 4: Simplify right side
    844.24x = 576,829.26
  5. Step 5: Solve for x
    x = 576,829.26/844.24
  6. Step 6: Final answer
    x = 683.25

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1.5x scale

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.