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Finding the Fourth Proportional to 912.91, 1,259.82 and 713.96

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Solution

The fourth proportional to 912.91, 1,259.82 and 713.96 is: 985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.91 : 1,259.82 = 713.96 : x
  2. Step 2: Convert to fraction form
    912.91/1,259.82 = 713.96/x
  3. Step 3: Cross multiply
    912.91x = 1,259.82 × 713.96
  4. Step 4: Simplify right side
    912.91x = 899,461.09
  5. Step 5: Solve for x
    x = 899,461.09/912.91
  6. Step 6: Final answer
    x = 985.27

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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.