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Finding the Fourth Proportional to 1,356.90, 1,872.50 and 759.41

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Solution

The fourth proportional to 1,356.90, 1,872.50 and 759.41 is: 1,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.90 : 1,872.50 = 759.41 : x
  2. Step 2: Convert to fraction form
    1,356.90/1,872.50 = 759.41/x
  3. Step 3: Cross multiply
    1,356.90x = 1,872.50 × 759.41
  4. Step 4: Simplify right side
    1,356.90x = 1,421,982.07
  5. Step 5: Solve for x
    x = 1,421,982.07/1,356.90
  6. Step 6: Final answer
    x = 1,047.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.