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Finding the Fourth Proportional to 1,208.82, 1,812.78 and 478.50

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Solution

The fourth proportional to 1,208.82, 1,812.78 and 478.50 is: 717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.82 : 1,812.78 = 478.50 : x
  2. Step 2: Convert to fraction form
    1,208.82/1,812.78 = 478.50/x
  3. Step 3: Cross multiply
    1,208.82x = 1,812.78 × 478.50
  4. Step 4: Simplify right side
    1,208.82x = 867,415.23
  5. Step 5: Solve for x
    x = 867,415.23/1,208.82
  6. Step 6: Final answer
    x = 717.57

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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.