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Finding the Fourth Proportional to 749.92, 1,034.86 and 418.33

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Solution

The fourth proportional to 749.92, 1,034.86 and 418.33 is: 577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.92 : 1,034.86 = 418.33 : x
  2. Step 2: Convert to fraction form
    749.92/1,034.86 = 418.33/x
  3. Step 3: Cross multiply
    749.92x = 1,034.86 × 418.33
  4. Step 4: Simplify right side
    749.92x = 432,909.35
  5. Step 5: Solve for x
    x = 432,909.35/749.92
  6. Step 6: Final answer
    x = 577.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.