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Finding the Fourth Proportional to 754.50, 1,130.77 and 523.02

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Solution

The fourth proportional to 754.50, 1,130.77 and 523.02 is: 783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.50 : 1,130.77 = 523.02 : x
  2. Step 2: Convert to fraction form
    754.50/1,130.77 = 523.02/x
  3. Step 3: Cross multiply
    754.50x = 1,130.77 × 523.02
  4. Step 4: Simplify right side
    754.50x = 591,415.33
  5. Step 5: Solve for x
    x = 591,415.33/754.50
  6. Step 6: Final answer
    x = 783.85

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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.