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Finding the Fourth Proportional to 843.98, 1,164.24 and 503.10

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Solution

The fourth proportional to 843.98, 1,164.24 and 503.10 is: 694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.98 : 1,164.24 = 503.10 : x
  2. Step 2: Convert to fraction form
    843.98/1,164.24 = 503.10/x
  3. Step 3: Cross multiply
    843.98x = 1,164.24 × 503.10
  4. Step 4: Simplify right side
    843.98x = 585,729.14
  5. Step 5: Solve for x
    x = 585,729.14/843.98
  6. Step 6: Final answer
    x = 694.01

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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.