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Finding the Fourth Proportional to 1,021.31, 1,532.01 and 613.07

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Solution

The fourth proportional to 1,021.31, 1,532.01 and 613.07 is: 919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.31 : 1,532.01 = 613.07 : x
  2. Step 2: Convert to fraction form
    1,021.31/1,532.01 = 613.07/x
  3. Step 3: Cross multiply
    1,021.31x = 1,532.01 × 613.07
  4. Step 4: Simplify right side
    1,021.31x = 939,229.75
  5. Step 5: Solve for x
    x = 939,229.75/1,021.31
  6. Step 6: Final answer
    x = 919.63

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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.