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Finding the Fourth Proportional to 754.83, 1,041.31 and 506.23

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Solution

The fourth proportional to 754.83, 1,041.31 and 506.23 is: 698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.83 : 1,041.31 = 506.23 : x
  2. Step 2: Convert to fraction form
    754.83/1,041.31 = 506.23/x
  3. Step 3: Cross multiply
    754.83x = 1,041.31 × 506.23
  4. Step 4: Simplify right side
    754.83x = 527,138.49
  5. Step 5: Solve for x
    x = 527,138.49/754.83
  6. Step 6: Final answer
    x = 698.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.