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Finding the Fourth Proportional to 1,296.38, 1,941.02 and 906.77

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Solution

The fourth proportional to 1,296.38, 1,941.02 and 906.77 is: 1,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.38 : 1,941.02 = 906.77 : x
  2. Step 2: Convert to fraction form
    1,296.38/1,941.02 = 906.77/x
  3. Step 3: Cross multiply
    1,296.38x = 1,941.02 × 906.77
  4. Step 4: Simplify right side
    1,296.38x = 1,760,047.87
  5. Step 5: Solve for x
    x = 1,760,047.87/1,296.38
  6. Step 6: Final answer
    x = 1,357.67

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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.