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Finding the Fourth Proportional to 1,208.42, 1,812.05 and 468.37

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Solution

The fourth proportional to 1,208.42, 1,812.05 and 468.37 is: 702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.42 : 1,812.05 = 468.37 : x
  2. Step 2: Convert to fraction form
    1,208.42/1,812.05 = 468.37/x
  3. Step 3: Cross multiply
    1,208.42x = 1,812.05 × 468.37
  4. Step 4: Simplify right side
    1,208.42x = 848,716.63
  5. Step 5: Solve for x
    x = 848,716.63/1,208.42
  6. Step 6: Final answer
    x = 702.34

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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.