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Finding the Fourth Proportional to 1,409.31, 1,944.67 and 811.64

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Solution

The fourth proportional to 1,409.31, 1,944.67 and 811.64 is: 1,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.31 : 1,944.67 = 811.64 : x
  2. Step 2: Convert to fraction form
    1,409.31/1,944.67 = 811.64/x
  3. Step 3: Cross multiply
    1,409.31x = 1,944.67 × 811.64
  4. Step 4: Simplify right side
    1,409.31x = 1,578,358.18
  5. Step 5: Solve for x
    x = 1,578,358.18/1,409.31
  6. Step 6: Final answer
    x = 1,119.95

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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.