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Finding the Fourth Proportional to 1,428.81, 1,971.48 and 986.55

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Solution

The fourth proportional to 1,428.81, 1,971.48 and 986.55 is: 1,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.81 : 1,971.48 = 986.55 : x
  2. Step 2: Convert to fraction form
    1,428.81/1,971.48 = 986.55/x
  3. Step 3: Cross multiply
    1,428.81x = 1,971.48 × 986.55
  4. Step 4: Simplify right side
    1,428.81x = 1,944,963.59
  5. Step 5: Solve for x
    x = 1,944,963.59/1,428.81
  6. Step 6: Final answer
    x = 1,361.25

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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.