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Finding the Fourth Proportional to 743.39, 1,025.34 and 494.58

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Solution

The fourth proportional to 743.39, 1,025.34 and 494.58 is: 682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.39 : 1,025.34 = 494.58 : x
  2. Step 2: Convert to fraction form
    743.39/1,025.34 = 494.58/x
  3. Step 3: Cross multiply
    743.39x = 1,025.34 × 494.58
  4. Step 4: Simplify right side
    743.39x = 507,112.66
  5. Step 5: Solve for x
    x = 507,112.66/743.39
  6. Step 6: Final answer
    x = 682.17

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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.