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Finding the Fourth Proportional to 679.51, 1,018.06 and 473.68

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Solution

The fourth proportional to 679.51, 1,018.06 and 473.68 is: 709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.51 : 1,018.06 = 473.68 : x
  2. Step 2: Convert to fraction form
    679.51/1,018.06 = 473.68/x
  3. Step 3: Cross multiply
    679.51x = 1,018.06 × 473.68
  4. Step 4: Simplify right side
    679.51x = 482,234.66
  5. Step 5: Solve for x
    x = 482,234.66/679.51
  6. Step 6: Final answer
    x = 709.68

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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.