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Finding the Fourth Proportional to 1,327.30, 1,831.64 and 767.80

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Solution

The fourth proportional to 1,327.30, 1,831.64 and 767.80 is: 1,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.30 : 1,831.64 = 767.80 : x
  2. Step 2: Convert to fraction form
    1,327.30/1,831.64 = 767.80/x
  3. Step 3: Cross multiply
    1,327.30x = 1,831.64 × 767.80
  4. Step 4: Simplify right side
    1,327.30x = 1,406,322.11
  5. Step 5: Solve for x
    x = 1,406,322.11/1,327.30
  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.