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Finding the Fourth Proportional to 1,803.69, 2,705.82 and 763.70

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Solution

The fourth proportional to 1,803.69, 2,705.82 and 763.70 is: 1,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.69 : 2,705.82 = 763.70 : x
  2. Step 2: Convert to fraction form
    1,803.69/2,705.82 = 763.70/x
  3. Step 3: Cross multiply
    1,803.69x = 2,705.82 × 763.70
  4. Step 4: Simplify right side
    1,803.69x = 2,066,434.73
  5. Step 5: Solve for x
    x = 2,066,434.73/1,803.69
  6. Step 6: Final answer
    x = 1,145.67

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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.