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Finding the Fourth Proportional to 1,296.85, 1,945.27 and 777.01

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Solution

The fourth proportional to 1,296.85, 1,945.27 and 777.01 is: 1,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.85 : 1,945.27 = 777.01 : x
  2. Step 2: Convert to fraction form
    1,296.85/1,945.27 = 777.01/x
  3. Step 3: Cross multiply
    1,296.85x = 1,945.27 × 777.01
  4. Step 4: Simplify right side
    1,296.85x = 1,511,496.18
  5. Step 5: Solve for x
    x = 1,511,496.18/1,296.85
  6. Step 6: Final answer
    x = 1,165.51

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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.