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Finding the Fourth Proportional to 852.75, 1,280.05 and 420.82

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Solution

The fourth proportional to 852.75, 1,280.05 and 420.82 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.75 : 1,280.05 = 420.82 : x
  2. Step 2: Convert to fraction form
    852.75/1,280.05 = 420.82/x
  3. Step 3: Cross multiply
    852.75x = 1,280.05 × 420.82
  4. Step 4: Simplify right side
    852.75x = 538,666.39
  5. Step 5: Solve for x
    x = 538,666.39/852.75
  6. Step 6: Final answer
    x = 631.68

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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.