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Finding the Fourth Proportional to 754.88, 1,041.83 and 460.19

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Solution

The fourth proportional to 754.88, 1,041.83 and 460.19 is: 635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.88 : 1,041.83 = 460.19 : x
  2. Step 2: Convert to fraction form
    754.88/1,041.83 = 460.19/x
  3. Step 3: Cross multiply
    754.88x = 1,041.83 × 460.19
  4. Step 4: Simplify right side
    754.88x = 479,439.75
  5. Step 5: Solve for x
    x = 479,439.75/754.88
  6. Step 6: Final answer
    x = 635.12

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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.