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Finding the Fourth Proportional to 1,314.20, 1,971.30 and 849.46

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Solution

The fourth proportional to 1,314.20, 1,971.30 and 849.46 is: 1,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.20 : 1,971.30 = 849.46 : x
  2. Step 2: Convert to fraction form
    1,314.20/1,971.30 = 849.46/x
  3. Step 3: Cross multiply
    1,314.20x = 1,971.30 × 849.46
  4. Step 4: Simplify right side
    1,314.20x = 1,674,540.50
  5. Step 5: Solve for x
    x = 1,674,540.50/1,314.20
  6. Step 6: Final answer
    x = 1,274.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.