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Finding the Fourth Proportional to 1,240.82, 1,712.29 and 681.31

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Solution

The fourth proportional to 1,240.82, 1,712.29 and 681.31 is: 940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.82 : 1,712.29 = 681.31 : x
  2. Step 2: Convert to fraction form
    1,240.82/1,712.29 = 681.31/x
  3. Step 3: Cross multiply
    1,240.82x = 1,712.29 × 681.31
  4. Step 4: Simplify right side
    1,240.82x = 1,166,602.01
  5. Step 5: Solve for x
    x = 1,166,602.01/1,240.82
  6. Step 6: Final answer
    x = 940.19

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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.