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Finding the Fourth Proportional to 1,310.69, 1,969.07 and 849.40

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Solution

The fourth proportional to 1,310.69, 1,969.07 and 849.40 is: 1,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.69 : 1,969.07 = 849.40 : x
  2. Step 2: Convert to fraction form
    1,310.69/1,969.07 = 849.40/x
  3. Step 3: Cross multiply
    1,310.69x = 1,969.07 × 849.40
  4. Step 4: Simplify right side
    1,310.69x = 1,672,528.06
  5. Step 5: Solve for x
    x = 1,672,528.06/1,310.69
  6. Step 6: Final answer
    x = 1,276.07

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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.