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Finding the Fourth Proportional to 1,214.32, 1,674.60 and 771.43

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Solution

The fourth proportional to 1,214.32, 1,674.60 and 771.43 is: 1,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.32 : 1,674.60 = 771.43 : x
  2. Step 2: Convert to fraction form
    1,214.32/1,674.60 = 771.43/x
  3. Step 3: Cross multiply
    1,214.32x = 1,674.60 × 771.43
  4. Step 4: Simplify right side
    1,214.32x = 1,291,836.68
  5. Step 5: Solve for x
    x = 1,291,836.68/1,214.32
  6. Step 6: Final answer
    x = 1,063.84

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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.