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Finding the Fourth Proportional to 754.71, 1,041.91 and 456.01

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Solution

The fourth proportional to 754.71, 1,041.91 and 456.01 is: 629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.71 : 1,041.91 = 456.01 : x
  2. Step 2: Convert to fraction form
    754.71/1,041.91 = 456.01/x
  3. Step 3: Cross multiply
    754.71x = 1,041.91 × 456.01
  4. Step 4: Simplify right side
    754.71x = 475,117.63
  5. Step 5: Solve for x
    x = 475,117.63/754.71
  6. Step 6: Final answer
    x = 629.54

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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.