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Finding the Fourth Proportional to 1,327.36, 1,831.70 and 767.80

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Solution

The fourth proportional to 1,327.36, 1,831.70 and 767.80 is: 1,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.36 : 1,831.70 = 767.80 : x
  2. Step 2: Convert to fraction form
    1,327.36/1,831.70 = 767.80/x
  3. Step 3: Cross multiply
    1,327.36x = 1,831.70 × 767.80
  4. Step 4: Simplify right side
    1,327.36x = 1,406,379.26
  5. Step 5: Solve for x
    x = 1,406,379.26/1,327.36
  6. Step 6: Final answer
    x = 1,059.53

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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.