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Finding the Fourth Proportional to 844.77, 1,164.57 and 595.32

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Solution

The fourth proportional to 844.77, 1,164.57 and 595.32 is: 820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.77 : 1,164.57 = 595.32 : x
  2. Step 2: Convert to fraction form
    844.77/1,164.57 = 595.32/x
  3. Step 3: Cross multiply
    844.77x = 1,164.57 × 595.32
  4. Step 4: Simplify right side
    844.77x = 693,291.81
  5. Step 5: Solve for x
    x = 693,291.81/844.77
  6. Step 6: Final answer
    x = 820.69

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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.