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Finding the Fourth Proportional to 1,443.36, 2,164.56 and 469.22

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Solution

The fourth proportional to 1,443.36, 2,164.56 and 469.22 is: 703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.36 : 2,164.56 = 469.22 : x
  2. Step 2: Convert to fraction form
    1,443.36/2,164.56 = 469.22/x
  3. Step 3: Cross multiply
    1,443.36x = 2,164.56 × 469.22
  4. Step 4: Simplify right side
    1,443.36x = 1,015,654.84
  5. Step 5: Solve for x
    x = 1,015,654.84/1,443.36
  6. Step 6: Final answer
    x = 703.67

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