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Finding the Fourth Proportional to 1,444, 2,164.89 and 713.08

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Solution

The fourth proportional to 1,444, 2,164.89 and 713.08 is: 1,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444 : 2,164.89 = 713.08 : x
  2. Step 2: Convert to fraction form
    1,444/2,164.89 = 713.08/x
  3. Step 3: Cross multiply
    1,444x = 2,164.89 × 713.08
  4. Step 4: Simplify right side
    1,444x = 1,543,739.76
  5. Step 5: Solve for x
    x = 1,543,739.76/1,444
  6. Step 6: Final answer
    x = 1,069.07

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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.