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Finding the Fourth Proportional to 1,443.07, 2,164.68 and 456.02

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Solution

The fourth proportional to 1,443.07, 2,164.68 and 456.02 is: 684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.07 : 2,164.68 = 456.02 : x
  2. Step 2: Convert to fraction form
    1,443.07/2,164.68 = 456.02/x
  3. Step 3: Cross multiply
    1,443.07x = 2,164.68 × 456.02
  4. Step 4: Simplify right side
    1,443.07x = 987,137.37
  5. Step 5: Solve for x
    x = 987,137.37/1,443.07
  6. Step 6: Final answer
    x = 684.05

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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.