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Finding the Fourth Proportional to 1,440.39, 1,986.59 and 968.13

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Solution

The fourth proportional to 1,440.39, 1,986.59 and 968.13 is: 1,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.39 : 1,986.59 = 968.13 : x
  2. Step 2: Convert to fraction form
    1,440.39/1,986.59 = 968.13/x
  3. Step 3: Cross multiply
    1,440.39x = 1,986.59 × 968.13
  4. Step 4: Simplify right side
    1,440.39x = 1,923,279.80
  5. Step 5: Solve for x
    x = 1,923,279.80/1,440.39
  6. Step 6: Final answer
    x = 1,335.25

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Why These Related Problems?

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