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Finding the Fourth Proportional to 1,442.66, 1,990.67 and 813.08

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Solution

The fourth proportional to 1,442.66, 1,990.67 and 813.08 is: 1,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.66 : 1,990.67 = 813.08 : x
  2. Step 2: Convert to fraction form
    1,442.66/1,990.67 = 813.08/x
  3. Step 3: Cross multiply
    1,442.66x = 1,990.67 × 813.08
  4. Step 4: Simplify right side
    1,442.66x = 1,618,574.87
  5. Step 5: Solve for x
    x = 1,618,574.87/1,442.66
  6. Step 6: Final answer
    x = 1,121.94

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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.