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Finding the Fourth Proportional to 1,344.63, 2,015.73 and 478.74

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Solution

The fourth proportional to 1,344.63, 2,015.73 and 478.74 is: 717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.63 : 2,015.73 = 478.74 : x
  2. Step 2: Convert to fraction form
    1,344.63/2,015.73 = 478.74/x
  3. Step 3: Cross multiply
    1,344.63x = 2,015.73 × 478.74
  4. Step 4: Simplify right side
    1,344.63x = 965,018.14
  5. Step 5: Solve for x
    x = 965,018.14/1,344.63
  6. Step 6: Final answer
    x = 717.68

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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.