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Finding the Fourth Proportional to 844.96, 1,165.26 and 592.77

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Solution

The fourth proportional to 844.96, 1,165.26 and 592.77 is: 817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.96 : 1,165.26 = 592.77 : x
  2. Step 2: Convert to fraction form
    844.96/1,165.26 = 592.77/x
  3. Step 3: Cross multiply
    844.96x = 1,165.26 × 592.77
  4. Step 4: Simplify right side
    844.96x = 690,729.54
  5. Step 5: Solve for x
    x = 690,729.54/844.96
  6. Step 6: Final answer
    x = 817.47

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Double scale
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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.