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Finding the Fourth Proportional to 1,331.29, 1,837.11 and 741.88

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Solution

The fourth proportional to 1,331.29, 1,837.11 and 741.88 is: 1,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.29 : 1,837.11 = 741.88 : x
  2. Step 2: Convert to fraction form
    1,331.29/1,837.11 = 741.88/x
  3. Step 3: Cross multiply
    1,331.29x = 1,837.11 × 741.88
  4. Step 4: Simplify right side
    1,331.29x = 1,362,915.17
  5. Step 5: Solve for x
    x = 1,362,915.17/1,331.29
  6. Step 6: Final answer
    x = 1,023.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.