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Finding the Fourth Proportional to 1,408.41, 2,113.62 and 678.39

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Solution

The fourth proportional to 1,408.41, 2,113.62 and 678.39 is: 1,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.41 : 2,113.62 = 678.39 : x
  2. Step 2: Convert to fraction form
    1,408.41/2,113.62 = 678.39/x
  3. Step 3: Cross multiply
    1,408.41x = 2,113.62 × 678.39
  4. Step 4: Simplify right side
    1,408.41x = 1,433,858.67
  5. Step 5: Solve for x
    x = 1,433,858.67/1,408.41
  6. Step 6: Final answer
    x = 1,018.07

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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.