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Finding the Fourth Proportional to 1,273.19, 1,911.08 and 657.34

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Solution

The fourth proportional to 1,273.19, 1,911.08 and 657.34 is: 986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.19 : 1,911.08 = 657.34 : x
  2. Step 2: Convert to fraction form
    1,273.19/1,911.08 = 657.34/x
  3. Step 3: Cross multiply
    1,273.19x = 1,911.08 × 657.34
  4. Step 4: Simplify right side
    1,273.19x = 1,256,222.91
  5. Step 5: Solve for x
    x = 1,256,222.91/1,273.19
  6. Step 6: Final answer
    x = 986.67

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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.