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Finding the Fourth Proportional to 1,443.71, 2,165.56 and 578.02

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Solution

The fourth proportional to 1,443.71, 2,165.56 and 578.02 is: 867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.71 : 2,165.56 = 578.02 : x
  2. Step 2: Convert to fraction form
    1,443.71/2,165.56 = 578.02/x
  3. Step 3: Cross multiply
    1,443.71x = 2,165.56 × 578.02
  4. Step 4: Simplify right side
    1,443.71x = 1,251,736.99
  5. Step 5: Solve for x
    x = 1,251,736.99/1,443.71
  6. Step 6: Final answer
    x = 867.03

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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.