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Finding the Fourth Proportional to 1,424.82, 1,966.22 and 803.82

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Solution

The fourth proportional to 1,424.82, 1,966.22 and 803.82 is: 1,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.82 : 1,966.22 = 803.82 : x
  2. Step 2: Convert to fraction form
    1,424.82/1,966.22 = 803.82/x
  3. Step 3: Cross multiply
    1,424.82x = 1,966.22 × 803.82
  4. Step 4: Simplify right side
    1,424.82x = 1,580,486.96
  5. Step 5: Solve for x
    x = 1,580,486.96/1,424.82
  6. Step 6: Final answer
    x = 1,109.25

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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.