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Finding the Fourth Proportional to 1,213, 1,673.38 and 863.88

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Solution

The fourth proportional to 1,213, 1,673.38 and 863.88 is: 1,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213 : 1,673.38 = 863.88 : x
  2. Step 2: Convert to fraction form
    1,213/1,673.38 = 863.88/x
  3. Step 3: Cross multiply
    1,213x = 1,673.38 × 863.88
  4. Step 4: Simplify right side
    1,213x = 1,445,599.51
  5. Step 5: Solve for x
    x = 1,445,599.51/1,213
  6. Step 6: Final answer
    x = 1,191.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.