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Finding the Fourth Proportional to 1,261.02, 1,890.75 and 520.41

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Solution

The fourth proportional to 1,261.02, 1,890.75 and 520.41 is: 780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.02 : 1,890.75 = 520.41 : x
  2. Step 2: Convert to fraction form
    1,261.02/1,890.75 = 520.41/x
  3. Step 3: Cross multiply
    1,261.02x = 1,890.75 × 520.41
  4. Step 4: Simplify right side
    1,261.02x = 983,965.21
  5. Step 5: Solve for x
    x = 983,965.21/1,261.02
  6. Step 6: Final answer
    x = 780.29

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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.