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Finding the Fourth Proportional to 1,319.14, 1,978.03 and 733.26

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Solution

The fourth proportional to 1,319.14, 1,978.03 and 733.26 is: 1,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.14 : 1,978.03 = 733.26 : x
  2. Step 2: Convert to fraction form
    1,319.14/1,978.03 = 733.26/x
  3. Step 3: Cross multiply
    1,319.14x = 1,978.03 × 733.26
  4. Step 4: Simplify right side
    1,319.14x = 1,450,406.61
  5. Step 5: Solve for x
    x = 1,450,406.61/1,319.14
  6. Step 6: Final answer
    x = 1,099.51

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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.