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Finding the Fourth Proportional to 749.92, 1,034.92 and 418.34

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Solution

The fourth proportional to 749.92, 1,034.92 and 418.34 is: 577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.92 : 1,034.92 = 418.34 : x
  2. Step 2: Convert to fraction form
    749.92/1,034.92 = 418.34/x
  3. Step 3: Cross multiply
    749.92x = 1,034.92 × 418.34
  4. Step 4: Simplify right side
    749.92x = 432,943.26
  5. Step 5: Solve for x
    x = 432,943.26/749.92
  6. Step 6: Final answer
    x = 577.32

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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.