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Finding the Fourth Proportional to 1,213, 1,673.94 and 689.11

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Solution

The fourth proportional to 1,213, 1,673.94 and 689.11 is: 950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213 : 1,673.94 = 689.11 : x
  2. Step 2: Convert to fraction form
    1,213/1,673.94 = 689.11/x
  3. Step 3: Cross multiply
    1,213x = 1,673.94 × 689.11
  4. Step 4: Simplify right side
    1,213x = 1,153,528.79
  5. Step 5: Solve for x
    x = 1,153,528.79/1,213
  6. Step 6: Final answer
    x = 950.97

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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.