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Finding the Fourth Proportional to 1,424.75, 1,966.17 and 795.27

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Solution

The fourth proportional to 1,424.75, 1,966.17 and 795.27 is: 1,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.75 : 1,966.17 = 795.27 : x
  2. Step 2: Convert to fraction form
    1,424.75/1,966.17 = 795.27/x
  3. Step 3: Cross multiply
    1,424.75x = 1,966.17 × 795.27
  4. Step 4: Simplify right side
    1,424.75x = 1,563,632.04
  5. Step 5: Solve for x
    x = 1,563,632.04/1,424.75
  6. Step 6: Final answer
    x = 1,097.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.