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Finding the Fourth Proportional to 940.23, 1,298.75 and 721.87

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Solution

The fourth proportional to 940.23, 1,298.75 and 721.87 is: 997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.23 : 1,298.75 = 721.87 : x
  2. Step 2: Convert to fraction form
    940.23/1,298.75 = 721.87/x
  3. Step 3: Cross multiply
    940.23x = 1,298.75 × 721.87
  4. Step 4: Simplify right side
    940.23x = 937,528.66
  5. Step 5: Solve for x
    x = 937,528.66/940.23
  6. Step 6: Final answer
    x = 997.13

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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.