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Finding the Fourth Proportional to 754.72, 1,041.45 and 459.95

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Solution

The fourth proportional to 754.72, 1,041.45 and 459.95 is: 634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.72 : 1,041.45 = 459.95 : x
  2. Step 2: Convert to fraction form
    754.72/1,041.45 = 459.95/x
  3. Step 3: Cross multiply
    754.72x = 1,041.45 × 459.95
  4. Step 4: Simplify right side
    754.72x = 479,014.93
  5. Step 5: Solve for x
    x = 479,014.93/754.72
  6. Step 6: Final answer
    x = 634.69

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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.