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Finding the Fourth Proportional to 754.99, 1,041.56 and 456.17

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Solution

The fourth proportional to 754.99, 1,041.56 and 456.17 is: 629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.99 : 1,041.56 = 456.17 : x
  2. Step 2: Convert to fraction form
    754.99/1,041.56 = 456.17/x
  3. Step 3: Cross multiply
    754.99x = 1,041.56 × 456.17
  4. Step 4: Simplify right side
    754.99x = 475,122.65
  5. Step 5: Solve for x
    x = 475,122.65/754.99
  6. Step 6: Final answer
    x = 629.31

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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.