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Finding the Fourth Proportional to 1,443.57, 2,165.19 and 469.45

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Solution

The fourth proportional to 1,443.57, 2,165.19 and 469.45 is: 704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.57 : 2,165.19 = 469.45 : x
  2. Step 2: Convert to fraction form
    1,443.57/2,165.19 = 469.45/x
  3. Step 3: Cross multiply
    1,443.57x = 2,165.19 × 469.45
  4. Step 4: Simplify right side
    1,443.57x = 1,016,448.45
  5. Step 5: Solve for x
    x = 1,016,448.45/1,443.57
  6. Step 6: Final answer
    x = 704.12

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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.