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Finding the Fourth Proportional to 1,440.79, 1,986.93 and 968.15

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Solution

The fourth proportional to 1,440.79, 1,986.93 and 968.15 is: 1,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.79 : 1,986.93 = 968.15 : x
  2. Step 2: Convert to fraction form
    1,440.79/1,986.93 = 968.15/x
  3. Step 3: Cross multiply
    1,440.79x = 1,986.93 × 968.15
  4. Step 4: Simplify right side
    1,440.79x = 1,923,651.25
  5. Step 5: Solve for x
    x = 1,923,651.25/1,440.79
  6. Step 6: Final answer
    x = 1,335.14

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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.