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Finding the Fourth Proportional to 1,286.76, 1,775.59 and 719.49

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Solution

The fourth proportional to 1,286.76, 1,775.59 and 719.49 is: 992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.76 : 1,775.59 = 719.49 : x
  2. Step 2: Convert to fraction form
    1,286.76/1,775.59 = 719.49/x
  3. Step 3: Cross multiply
    1,286.76x = 1,775.59 × 719.49
  4. Step 4: Simplify right side
    1,286.76x = 1,277,519.25
  5. Step 5: Solve for x
    x = 1,277,519.25/1,286.76
  6. Step 6: Final answer
    x = 992.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.