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Finding the Fourth Proportional to 1,313.25, 1,966.65 and 849.63

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Solution

The fourth proportional to 1,313.25, 1,966.65 and 849.63 is: 1,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.25 : 1,966.65 = 849.63 : x
  2. Step 2: Convert to fraction form
    1,313.25/1,966.65 = 849.63/x
  3. Step 3: Cross multiply
    1,313.25x = 1,966.65 × 849.63
  4. Step 4: Simplify right side
    1,313.25x = 1,670,924.84
  5. Step 5: Solve for x
    x = 1,670,924.84/1,313.25
  6. Step 6: Final answer
    x = 1,272.36

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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.