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Finding the Fourth Proportional to 1,272.11, 1,755.07 and 774.36

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Solution

The fourth proportional to 1,272.11, 1,755.07 and 774.36 is: 1,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.11 : 1,755.07 = 774.36 : x
  2. Step 2: Convert to fraction form
    1,272.11/1,755.07 = 774.36/x
  3. Step 3: Cross multiply
    1,272.11x = 1,755.07 × 774.36
  4. Step 4: Simplify right side
    1,272.11x = 1,359,054.07
  5. Step 5: Solve for x
    x = 1,359,054.07/1,272.11
  6. Step 6: Final answer
    x = 1,068.35

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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.