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Finding the Fourth Proportional to 756.34, 1,043.48 and 494.51

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Solution

The fourth proportional to 756.34, 1,043.48 and 494.51 is: 682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.34 : 1,043.48 = 494.51 : x
  2. Step 2: Convert to fraction form
    756.34/1,043.48 = 494.51/x
  3. Step 3: Cross multiply
    756.34x = 1,043.48 × 494.51
  4. Step 4: Simplify right side
    756.34x = 516,003.60
  5. Step 5: Solve for x
    x = 516,003.60/756.34
  6. Step 6: Final answer
    x = 682.24

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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.