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Finding the Fourth Proportional to 750.08, 1,034.97 and 418.49

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Solution

The fourth proportional to 750.08, 1,034.97 and 418.49 is: 577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.08 : 1,034.97 = 418.49 : x
  2. Step 2: Convert to fraction form
    750.08/1,034.97 = 418.49/x
  3. Step 3: Cross multiply
    750.08x = 1,034.97 × 418.49
  4. Step 4: Simplify right side
    750.08x = 433,119.42
  5. Step 5: Solve for x
    x = 433,119.42/750.08
  6. Step 6: Final answer
    x = 577.43

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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.