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Finding the Fourth Proportional to 843.55, 1,264.99 and 569.77

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Solution

The fourth proportional to 843.55, 1,264.99 and 569.77 is: 854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.55 : 1,264.99 = 569.77 : x
  2. Step 2: Convert to fraction form
    843.55/1,264.99 = 569.77/x
  3. Step 3: Cross multiply
    843.55x = 1,264.99 × 569.77
  4. Step 4: Simplify right side
    843.55x = 720,750.50
  5. Step 5: Solve for x
    x = 720,750.50/843.55
  6. Step 6: Final answer
    x = 854.43

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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.