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Finding the Fourth Proportional to 1,213.03, 1,673.95 and 689.05

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Solution

The fourth proportional to 1,213.03, 1,673.95 and 689.05 is: 950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.03 : 1,673.95 = 689.05 : x
  2. Step 2: Convert to fraction form
    1,213.03/1,673.95 = 689.05/x
  3. Step 3: Cross multiply
    1,213.03x = 1,673.95 × 689.05
  4. Step 4: Simplify right side
    1,213.03x = 1,153,435.25
  5. Step 5: Solve for x
    x = 1,153,435.25/1,213.03
  6. Step 6: Final answer
    x = 950.87

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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.