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Finding the Fourth Proportional to 1,269.14, 1,751.40 and 709.65

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Solution

The fourth proportional to 1,269.14, 1,751.40 and 709.65 is: 979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.14 : 1,751.40 = 709.65 : x
  2. Step 2: Convert to fraction form
    1,269.14/1,751.40 = 709.65/x
  3. Step 3: Cross multiply
    1,269.14x = 1,751.40 × 709.65
  4. Step 4: Simplify right side
    1,269.14x = 1,242,881.01
  5. Step 5: Solve for x
    x = 1,242,881.01/1,269.14
  6. Step 6: Final answer
    x = 979.31

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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.