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Finding the Fourth Proportional to 872.25, 1,307.77 and 409.94

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Solution

The fourth proportional to 872.25, 1,307.77 and 409.94 is: 614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.25 : 1,307.77 = 409.94 : x
  2. Step 2: Convert to fraction form
    872.25/1,307.77 = 409.94/x
  3. Step 3: Cross multiply
    872.25x = 1,307.77 × 409.94
  4. Step 4: Simplify right side
    872.25x = 536,109.48
  5. Step 5: Solve for x
    x = 536,109.48/872.25
  6. Step 6: Final answer
    x = 614.63

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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.