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Finding the Fourth Proportional to 1,260.33, 1,890.63 and 480.91

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Solution

The fourth proportional to 1,260.33, 1,890.63 and 480.91 is: 721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.33 : 1,890.63 = 480.91 : x
  2. Step 2: Convert to fraction form
    1,260.33/1,890.63 = 480.91/x
  3. Step 3: Cross multiply
    1,260.33x = 1,890.63 × 480.91
  4. Step 4: Simplify right side
    1,260.33x = 909,222.87
  5. Step 5: Solve for x
    x = 909,222.87/1,260.33
  6. Step 6: Final answer
    x = 721.42

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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.