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Finding the Fourth Proportional to 1,376.25, 2,063.97 and 402.12

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Solution

The fourth proportional to 1,376.25, 2,063.97 and 402.12 is: 603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.25 : 2,063.97 = 402.12 : x
  2. Step 2: Convert to fraction form
    1,376.25/2,063.97 = 402.12/x
  3. Step 3: Cross multiply
    1,376.25x = 2,063.97 × 402.12
  4. Step 4: Simplify right side
    1,376.25x = 829,963.62
  5. Step 5: Solve for x
    x = 829,963.62/1,376.25
  6. Step 6: Final answer
    x = 603.06

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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.