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Finding the Fourth Proportional to 743.48, 1,026.03 and 494.37

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Solution

The fourth proportional to 743.48, 1,026.03 and 494.37 is: 682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.48 : 1,026.03 = 494.37 : x
  2. Step 2: Convert to fraction form
    743.48/1,026.03 = 494.37/x
  3. Step 3: Cross multiply
    743.48x = 1,026.03 × 494.37
  4. Step 4: Simplify right side
    743.48x = 507,238.45
  5. Step 5: Solve for x
    x = 507,238.45/743.48
  6. Step 6: Final answer
    x = 682.25

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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.