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Finding the Fourth Proportional to 1,314.76, 1,968.30 and 798.28

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Solution

The fourth proportional to 1,314.76, 1,968.30 and 798.28 is: 1,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.76 : 1,968.30 = 798.28 : x
  2. Step 2: Convert to fraction form
    1,314.76/1,968.30 = 798.28/x
  3. Step 3: Cross multiply
    1,314.76x = 1,968.30 × 798.28
  4. Step 4: Simplify right side
    1,314.76x = 1,571,254.52
  5. Step 5: Solve for x
    x = 1,571,254.52/1,314.76
  6. Step 6: Final answer
    x = 1,195.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.