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Finding the Fourth Proportional to 1,442.16, 1,990.17 and 804.09

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Solution

The fourth proportional to 1,442.16, 1,990.17 and 804.09 is: 1,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.16 : 1,990.17 = 804.09 : x
  2. Step 2: Convert to fraction form
    1,442.16/1,990.17 = 804.09/x
  3. Step 3: Cross multiply
    1,442.16x = 1,990.17 × 804.09
  4. Step 4: Simplify right side
    1,442.16x = 1,600,275.80
  5. Step 5: Solve for x
    x = 1,600,275.80/1,442.16
  6. Step 6: Final answer
    x = 1,109.64

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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.