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Finding the Fourth Proportional to 678.51, 1,018.22 and 354.11

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Solution

The fourth proportional to 678.51, 1,018.22 and 354.11 is: 531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.51 : 1,018.22 = 354.11 : x
  2. Step 2: Convert to fraction form
    678.51/1,018.22 = 354.11/x
  3. Step 3: Cross multiply
    678.51x = 1,018.22 × 354.11
  4. Step 4: Simplify right side
    678.51x = 360,555.02
  5. Step 5: Solve for x
    x = 360,555.02/678.51
  6. Step 6: Final answer
    x = 531.39

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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.