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Finding the Fourth Proportional to 1,400.76, 1,932.80 and 811.08

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Solution

The fourth proportional to 1,400.76, 1,932.80 and 811.08 is: 1,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.76 : 1,932.80 = 811.08 : x
  2. Step 2: Convert to fraction form
    1,400.76/1,932.80 = 811.08/x
  3. Step 3: Cross multiply
    1,400.76x = 1,932.80 × 811.08
  4. Step 4: Simplify right side
    1,400.76x = 1,567,651.37
  5. Step 5: Solve for x
    x = 1,567,651.37/1,400.76
  6. Step 6: Final answer
    x = 1,119.14

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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.