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Finding the Fourth Proportional to 1,213.63, 1,674.75 and 689.83

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Solution

The fourth proportional to 1,213.63, 1,674.75 and 689.83 is: 951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.63 : 1,674.75 = 689.83 : x
  2. Step 2: Convert to fraction form
    1,213.63/1,674.75 = 689.83/x
  3. Step 3: Cross multiply
    1,213.63x = 1,674.75 × 689.83
  4. Step 4: Simplify right side
    1,213.63x = 1,155,292.79
  5. Step 5: Solve for x
    x = 1,155,292.79/1,213.63
  6. Step 6: Final answer
    x = 951.93

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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.