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Finding the Fourth Proportional to 1,359.23, 2,034.43 and 733.66

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Solution

The fourth proportional to 1,359.23, 2,034.43 and 733.66 is: 1,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.23 : 2,034.43 = 733.66 : x
  2. Step 2: Convert to fraction form
    1,359.23/2,034.43 = 733.66/x
  3. Step 3: Cross multiply
    1,359.23x = 2,034.43 × 733.66
  4. Step 4: Simplify right side
    1,359.23x = 1,492,577.12
  5. Step 5: Solve for x
    x = 1,492,577.12/1,359.23
  6. Step 6: Final answer
    x = 1,098.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.