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Finding the Fourth Proportional to 1,086.73, 1,498.30 and 713.07

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Solution

The fourth proportional to 1,086.73, 1,498.30 and 713.07 is: 983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.73 : 1,498.30 = 713.07 : x
  2. Step 2: Convert to fraction form
    1,086.73/1,498.30 = 713.07/x
  3. Step 3: Cross multiply
    1,086.73x = 1,498.30 × 713.07
  4. Step 4: Simplify right side
    1,086.73x = 1,068,381.72
  5. Step 5: Solve for x
    x = 1,068,381.72/1,086.73
  6. Step 6: Final answer
    x = 983.12

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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.