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Finding the Fourth Proportional to 872.01, 1,307.37 and 409.55

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Solution

The fourth proportional to 872.01, 1,307.37 and 409.55 is: 614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.01 : 1,307.37 = 409.55 : x
  2. Step 2: Convert to fraction form
    872.01/1,307.37 = 409.55/x
  3. Step 3: Cross multiply
    872.01x = 1,307.37 × 409.55
  4. Step 4: Simplify right side
    872.01x = 535,426.85
  5. Step 5: Solve for x
    x = 535,426.85/872.01
  6. Step 6: Final answer
    x = 614.02

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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.