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Finding the Fourth Proportional to 818.96, 1,223.29 and 682.13

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Solution

The fourth proportional to 818.96, 1,223.29 and 682.13 is: 1,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.96 : 1,223.29 = 682.13 : x
  2. Step 2: Convert to fraction form
    818.96/1,223.29 = 682.13/x
  3. Step 3: Cross multiply
    818.96x = 1,223.29 × 682.13
  4. Step 4: Simplify right side
    818.96x = 834,442.81
  5. Step 5: Solve for x
    x = 834,442.81/818.96
  6. Step 6: Final answer
    x = 1,018.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.