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Finding the Fourth Proportional to 1,444.97, 2,165.74 and 566.43

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Solution

The fourth proportional to 1,444.97, 2,165.74 and 566.43 is: 848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.97 : 2,165.74 = 566.43 : x
  2. Step 2: Convert to fraction form
    1,444.97/2,165.74 = 566.43/x
  3. Step 3: Cross multiply
    1,444.97x = 2,165.74 × 566.43
  4. Step 4: Simplify right side
    1,444.97x = 1,226,730.57
  5. Step 5: Solve for x
    x = 1,226,730.57/1,444.97
  6. Step 6: Final answer
    x = 848.96

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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.