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Finding the Fourth Proportional to 678.26, 1,018.20 and 435.80

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Solution

The fourth proportional to 678.26, 1,018.20 and 435.80 is: 654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.26 : 1,018.20 = 435.80 : x
  2. Step 2: Convert to fraction form
    678.26/1,018.20 = 435.80/x
  3. Step 3: Cross multiply
    678.26x = 1,018.20 × 435.80
  4. Step 4: Simplify right side
    678.26x = 443,731.56
  5. Step 5: Solve for x
    x = 443,731.56/678.26
  6. Step 6: Final answer
    x = 654.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.