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Finding the Fourth Proportional to 1,240.73, 1,712.08 and 716.93

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Solution

The fourth proportional to 1,240.73, 1,712.08 and 716.93 is: 989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.73 : 1,712.08 = 716.93 : x
  2. Step 2: Convert to fraction form
    1,240.73/1,712.08 = 716.93/x
  3. Step 3: Cross multiply
    1,240.73x = 1,712.08 × 716.93
  4. Step 4: Simplify right side
    1,240.73x = 1,227,441.51
  5. Step 5: Solve for x
    x = 1,227,441.51/1,240.73
  6. Step 6: Final answer
    x = 989.29

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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.