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Finding the Fourth Proportional to 1,213.08, 1,673.84 and 689.01

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Solution

The fourth proportional to 1,213.08, 1,673.84 and 689.01 is: 950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.08 : 1,673.84 = 689.01 : x
  2. Step 2: Convert to fraction form
    1,213.08/1,673.84 = 689.01/x
  3. Step 3: Cross multiply
    1,213.08x = 1,673.84 × 689.01
  4. Step 4: Simplify right side
    1,213.08x = 1,153,289.05
  5. Step 5: Solve for x
    x = 1,153,289.05/1,213.08
  6. Step 6: Final answer
    x = 950.71

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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.