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Finding the Fourth Proportional to 750.26, 1,035.31 and 418.67

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Solution

The fourth proportional to 750.26, 1,035.31 and 418.67 is: 577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.26 : 1,035.31 = 418.67 : x
  2. Step 2: Convert to fraction form
    750.26/1,035.31 = 418.67/x
  3. Step 3: Cross multiply
    750.26x = 1,035.31 × 418.67
  4. Step 4: Simplify right side
    750.26x = 433,453.24
  5. Step 5: Solve for x
    x = 433,453.24/750.26
  6. Step 6: Final answer
    x = 577.74

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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.