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Finding the Fourth Proportional to 1,021.53, 1,532.01 and 280.96

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Solution

The fourth proportional to 1,021.53, 1,532.01 and 280.96 is: 421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.53 : 1,532.01 = 280.96 : x
  2. Step 2: Convert to fraction form
    1,021.53/1,532.01 = 280.96/x
  3. Step 3: Cross multiply
    1,021.53x = 1,532.01 × 280.96
  4. Step 4: Simplify right side
    1,021.53x = 430,433.53
  5. Step 5: Solve for x
    x = 430,433.53/1,021.53
  6. Step 6: Final answer
    x = 421.36

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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.