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Finding the Fourth Proportional to 749.90, 1,034.83 and 418.29

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Solution

The fourth proportional to 749.90, 1,034.83 and 418.29 is: 577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.90 : 1,034.83 = 418.29 : x
  2. Step 2: Convert to fraction form
    749.90/1,034.83 = 418.29/x
  3. Step 3: Cross multiply
    749.90x = 1,034.83 × 418.29
  4. Step 4: Simplify right side
    749.90x = 432,859.04
  5. Step 5: Solve for x
    x = 432,859.04/749.90
  6. Step 6: Final answer
    x = 577.22

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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.