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Finding the Fourth Proportional to 754.08, 1,129.29 and 522.33

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Solution

The fourth proportional to 754.08, 1,129.29 and 522.33 is: 782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.08 : 1,129.29 = 522.33 : x
  2. Step 2: Convert to fraction form
    754.08/1,129.29 = 522.33/x
  3. Step 3: Cross multiply
    754.08x = 1,129.29 × 522.33
  4. Step 4: Simplify right side
    754.08x = 589,862.05
  5. Step 5: Solve for x
    x = 589,862.05/754.08
  6. Step 6: Final answer
    x = 782.23

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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.