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Finding the Fourth Proportional to 1,313.84, 1,967.22 and 849.08

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Solution

The fourth proportional to 1,313.84, 1,967.22 and 849.08 is: 1,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.84 : 1,967.22 = 849.08 : x
  2. Step 2: Convert to fraction form
    1,313.84/1,967.22 = 849.08/x
  3. Step 3: Cross multiply
    1,313.84x = 1,967.22 × 849.08
  4. Step 4: Simplify right side
    1,313.84x = 1,670,327.16
  5. Step 5: Solve for x
    x = 1,670,327.16/1,313.84
  6. Step 6: Final answer
    x = 1,271.33

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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.