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Finding the Fourth Proportional to 1,442.81, 2,164.67 and 794.00

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Solution

The fourth proportional to 1,442.81, 2,164.67 and 794.00 is: 1,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.81 : 2,164.67 = 794.00 : x
  2. Step 2: Convert to fraction form
    1,442.81/2,164.67 = 794.00/x
  3. Step 3: Cross multiply
    1,442.81x = 2,164.67 × 794.00
  4. Step 4: Simplify right side
    1,442.81x = 1,718,756.87
  5. Step 5: Solve for x
    x = 1,718,756.87/1,442.81
  6. Step 6: Final answer
    x = 1,191.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.