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Finding the Fourth Proportional to 1,269.35, 1,751.53 and 709.79

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Solution

The fourth proportional to 1,269.35, 1,751.53 and 709.79 is: 979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.35 : 1,751.53 = 709.79 : x
  2. Step 2: Convert to fraction form
    1,269.35/1,751.53 = 709.79/x
  3. Step 3: Cross multiply
    1,269.35x = 1,751.53 × 709.79
  4. Step 4: Simplify right side
    1,269.35x = 1,243,218.48
  5. Step 5: Solve for x
    x = 1,243,218.48/1,269.35
  6. Step 6: Final answer
    x = 979.41

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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.