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Finding the Fourth Proportional to 679.84, 1,018.38 and 498.22

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Solution

The fourth proportional to 679.84, 1,018.38 and 498.22 is: 746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.84 : 1,018.38 = 498.22 : x
  2. Step 2: Convert to fraction form
    679.84/1,018.38 = 498.22/x
  3. Step 3: Cross multiply
    679.84x = 1,018.38 × 498.22
  4. Step 4: Simplify right side
    679.84x = 507,377.28
  5. Step 5: Solve for x
    x = 507,377.28/679.84
  6. Step 6: Final answer
    x = 746.32

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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.