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Finding the Fourth Proportional to 1,443.14, 2,164.26 and 469.02

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Solution

The fourth proportional to 1,443.14, 2,164.26 and 469.02 is: 703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.14 : 2,164.26 = 469.02 : x
  2. Step 2: Convert to fraction form
    1,443.14/2,164.26 = 469.02/x
  3. Step 3: Cross multiply
    1,443.14x = 2,164.26 × 469.02
  4. Step 4: Simplify right side
    1,443.14x = 1,015,081.23
  5. Step 5: Solve for x
    x = 1,015,081.23/1,443.14
  6. Step 6: Final answer
    x = 703.38

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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.