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Finding the Fourth Proportional to 678.48, 1,018.12 and 472.66

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Solution

The fourth proportional to 678.48, 1,018.12 and 472.66 is: 709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.48 : 1,018.12 = 472.66 : x
  2. Step 2: Convert to fraction form
    678.48/1,018.12 = 472.66/x
  3. Step 3: Cross multiply
    678.48x = 1,018.12 × 472.66
  4. Step 4: Simplify right side
    678.48x = 481,224.60
  5. Step 5: Solve for x
    x = 481,224.60/678.48
  6. Step 6: Final answer
    x = 709.27

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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.