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Finding the Fourth Proportional to 1,286.84, 1,931.47 and 670.99

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Solution

The fourth proportional to 1,286.84, 1,931.47 and 670.99 is: 1,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.84 : 1,931.47 = 670.99 : x
  2. Step 2: Convert to fraction form
    1,286.84/1,931.47 = 670.99/x
  3. Step 3: Cross multiply
    1,286.84x = 1,931.47 × 670.99
  4. Step 4: Simplify right side
    1,286.84x = 1,295,997.06
  5. Step 5: Solve for x
    x = 1,295,997.06/1,286.84
  6. Step 6: Final answer
    x = 1,007.12

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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.