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Finding the Fourth Proportional to 844.19, 1,165.11 and 512.72

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Solution

The fourth proportional to 844.19, 1,165.11 and 512.72 is: 707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.19 : 1,165.11 = 512.72 : x
  2. Step 2: Convert to fraction form
    844.19/1,165.11 = 512.72/x
  3. Step 3: Cross multiply
    844.19x = 1,165.11 × 512.72
  4. Step 4: Simplify right side
    844.19x = 597,369.37
  5. Step 5: Solve for x
    x = 597,369.37/844.19
  6. Step 6: Final answer
    x = 707.63

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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.