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Finding the Fourth Proportional to 872.29, 1,307.80 and 409.83

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Solution

The fourth proportional to 872.29, 1,307.80 and 409.83 is: 614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.29 : 1,307.80 = 409.83 : x
  2. Step 2: Convert to fraction form
    872.29/1,307.80 = 409.83/x
  3. Step 3: Cross multiply
    872.29x = 1,307.80 × 409.83
  4. Step 4: Simplify right side
    872.29x = 535,975.67
  5. Step 5: Solve for x
    x = 535,975.67/872.29
  6. Step 6: Final answer
    x = 614.45

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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.