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Finding the Fourth Proportional to 1,260.09, 1,890.77 and 520.25

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Solution

The fourth proportional to 1,260.09, 1,890.77 and 520.25 is: 780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.09 : 1,890.77 = 520.25 : x
  2. Step 2: Convert to fraction form
    1,260.09/1,890.77 = 520.25/x
  3. Step 3: Cross multiply
    1,260.09x = 1,890.77 × 520.25
  4. Step 4: Simplify right side
    1,260.09x = 983,661.04
  5. Step 5: Solve for x
    x = 983,661.04/1,260.09
  6. Step 6: Final answer
    x = 780.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.