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Finding the Fourth Proportional to 1,442.29, 1,990.28 and 844.79

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Solution

The fourth proportional to 1,442.29, 1,990.28 and 844.79 is: 1,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.29 : 1,990.28 = 844.79 : x
  2. Step 2: Convert to fraction form
    1,442.29/1,990.28 = 844.79/x
  3. Step 3: Cross multiply
    1,442.29x = 1,990.28 × 844.79
  4. Step 4: Simplify right side
    1,442.29x = 1,681,368.64
  5. Step 5: Solve for x
    x = 1,681,368.64/1,442.29
  6. Step 6: Final answer
    x = 1,165.76

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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.