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Finding the Fourth Proportional to 843.33, 1,264.09 and 569.35

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Solution

The fourth proportional to 843.33, 1,264.09 and 569.35 is: 853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.33 : 1,264.09 = 569.35 : x
  2. Step 2: Convert to fraction form
    843.33/1,264.09 = 569.35/x
  3. Step 3: Cross multiply
    843.33x = 1,264.09 × 569.35
  4. Step 4: Simplify right side
    843.33x = 719,709.64
  5. Step 5: Solve for x
    x = 719,709.64/843.33
  6. Step 6: Final answer
    x = 853.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.