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Finding the Fourth Proportional to 1,208.93, 1,813.41 and 478.49

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Solution

The fourth proportional to 1,208.93, 1,813.41 and 478.49 is: 717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.93 : 1,813.41 = 478.49 : x
  2. Step 2: Convert to fraction form
    1,208.93/1,813.41 = 478.49/x
  3. Step 3: Cross multiply
    1,208.93x = 1,813.41 × 478.49
  4. Step 4: Simplify right side
    1,208.93x = 867,689.48
  5. Step 5: Solve for x
    x = 867,689.48/1,208.93
  6. Step 6: Final answer
    x = 717.74

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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.