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Finding the Fourth Proportional to 1,408.21, 2,112.62 and 586.67

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Solution

The fourth proportional to 1,408.21, 2,112.62 and 586.67 is: 880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.21 : 2,112.62 = 586.67 : x
  2. Step 2: Convert to fraction form
    1,408.21/2,112.62 = 586.67/x
  3. Step 3: Cross multiply
    1,408.21x = 2,112.62 × 586.67
  4. Step 4: Simplify right side
    1,408.21x = 1,239,397.28
  5. Step 5: Solve for x
    x = 1,239,397.28/1,408.21
  6. Step 6: Final answer
    x = 880.12

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