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Finding the Fourth Proportional to 844.93, 1,164.67 and 595.85

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Solution

The fourth proportional to 844.93, 1,164.67 and 595.85 is: 821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.93 : 1,164.67 = 595.85 : x
  2. Step 2: Convert to fraction form
    844.93/1,164.67 = 595.85/x
  3. Step 3: Cross multiply
    844.93x = 1,164.67 × 595.85
  4. Step 4: Simplify right side
    844.93x = 693,970.04
  5. Step 5: Solve for x
    x = 693,970.04/844.93
  6. Step 6: Final answer
    x = 821.34

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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.