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Finding the Fourth Proportional to 1,208.68, 1,813.48 and 478.78

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Solution

The fourth proportional to 1,208.68, 1,813.48 and 478.78 is: 718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.68 : 1,813.48 = 478.78 : x
  2. Step 2: Convert to fraction form
    1,208.68/1,813.48 = 478.78/x
  3. Step 3: Cross multiply
    1,208.68x = 1,813.48 × 478.78
  4. Step 4: Simplify right side
    1,208.68x = 868,257.95
  5. Step 5: Solve for x
    x = 868,257.95/1,208.68
  6. Step 6: Final answer
    x = 718.35

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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.