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Finding the Fourth Proportional to 1,213.29, 1,674.59 and 689.49

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Solution

The fourth proportional to 1,213.29, 1,674.59 and 689.49 is: 951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.29 : 1,674.59 = 689.49 : x
  2. Step 2: Convert to fraction form
    1,213.29/1,674.59 = 689.49/x
  3. Step 3: Cross multiply
    1,213.29x = 1,674.59 × 689.49
  4. Step 4: Simplify right side
    1,213.29x = 1,154,609.61
  5. Step 5: Solve for x
    x = 1,154,609.61/1,213.29
  6. Step 6: Final answer
    x = 951.64

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