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Finding the Fourth Proportional to 1,357.31, 1,873.10 and 736.31

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Solution

The fourth proportional to 1,357.31, 1,873.10 and 736.31 is: 1,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.31 : 1,873.10 = 736.31 : x
  2. Step 2: Convert to fraction form
    1,357.31/1,873.10 = 736.31/x
  3. Step 3: Cross multiply
    1,357.31x = 1,873.10 × 736.31
  4. Step 4: Simplify right side
    1,357.31x = 1,379,188.78
  5. Step 5: Solve for x
    x = 1,379,188.78/1,357.31
  6. Step 6: Final answer
    x = 1,016.12

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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.