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Finding the Fourth Proportional to 1,344.63, 2,016.73 and 478.95

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Solution

The fourth proportional to 1,344.63, 2,016.73 and 478.95 is: 718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.63 : 2,016.73 = 478.95 : x
  2. Step 2: Convert to fraction form
    1,344.63/2,016.73 = 478.95/x
  3. Step 3: Cross multiply
    1,344.63x = 2,016.73 × 478.95
  4. Step 4: Simplify right side
    1,344.63x = 965,912.83
  5. Step 5: Solve for x
    x = 965,912.83/1,344.63
  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.