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Finding the Fourth Proportional to 1,346.62, 2,019.54 and 480.94

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Solution

The fourth proportional to 1,346.62, 2,019.54 and 480.94 is: 721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.62 : 2,019.54 = 480.94 : x
  2. Step 2: Convert to fraction form
    1,346.62/2,019.54 = 480.94/x
  3. Step 3: Cross multiply
    1,346.62x = 2,019.54 × 480.94
  4. Step 4: Simplify right side
    1,346.62x = 971,277.57
  5. Step 5: Solve for x
    x = 971,277.57/1,346.62
  6. Step 6: Final answer
    x = 721.27

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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.