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Finding the Fourth Proportional to 1,408.33, 2,112.81 and 678.52

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Solution

The fourth proportional to 1,408.33, 2,112.81 and 678.52 is: 1,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.33 : 2,112.81 = 678.52 : x
  2. Step 2: Convert to fraction form
    1,408.33/2,112.81 = 678.52/x
  3. Step 3: Cross multiply
    1,408.33x = 2,112.81 × 678.52
  4. Step 4: Simplify right side
    1,408.33x = 1,433,573.28
  5. Step 5: Solve for x
    x = 1,433,573.28/1,408.33
  6. Step 6: Final answer
    x = 1,017.93

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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.