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Finding the Fourth Proportional to 1,269.14, 1,751.75 and 772.06

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Solution

The fourth proportional to 1,269.14, 1,751.75 and 772.06 is: 1,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.14 : 1,751.75 = 772.06 : x
  2. Step 2: Convert to fraction form
    1,269.14/1,751.75 = 772.06/x
  3. Step 3: Cross multiply
    1,269.14x = 1,751.75 × 772.06
  4. Step 4: Simplify right side
    1,269.14x = 1,352,456.11
  5. Step 5: Solve for x
    x = 1,352,456.11/1,269.14
  6. Step 6: Final answer
    x = 1,065.65

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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.