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Finding the Fourth Proportional to 754.83, 1,133.82 and 462.45

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Solution

The fourth proportional to 754.83, 1,133.82 and 462.45 is: 694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.83 : 1,133.82 = 462.45 : x
  2. Step 2: Convert to fraction form
    754.83/1,133.82 = 462.45/x
  3. Step 3: Cross multiply
    754.83x = 1,133.82 × 462.45
  4. Step 4: Simplify right side
    754.83x = 524,335.06
  5. Step 5: Solve for x
    x = 524,335.06/754.83
  6. Step 6: Final answer
    x = 694.64

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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.