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Finding the Fourth Proportional to 1,533.28, 2,301 and 667.84

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Solution

The fourth proportional to 1,533.28, 2,301 and 667.84 is: 1,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.28 : 2,301 = 667.84 : x
  2. Step 2: Convert to fraction form
    1,533.28/2,301 = 667.84/x
  3. Step 3: Cross multiply
    1,533.28x = 2,301 × 667.84
  4. Step 4: Simplify right side
    1,533.28x = 1,536,699.84
  5. Step 5: Solve for x
    x = 1,536,699.84/1,533.28
  6. Step 6: Final answer
    x = 1,002.23

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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.