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Finding the Fourth Proportional to 1,021.25, 1,408.76 and 666.67

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Solution

The fourth proportional to 1,021.25, 1,408.76 and 666.67 is: 919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.25 : 1,408.76 = 666.67 : x
  2. Step 2: Convert to fraction form
    1,021.25/1,408.76 = 666.67/x
  3. Step 3: Cross multiply
    1,021.25x = 1,408.76 × 666.67
  4. Step 4: Simplify right side
    1,021.25x = 939,178.03
  5. Step 5: Solve for x
    x = 939,178.03/1,021.25
  6. Step 6: Final answer
    x = 919.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.