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Finding the Fourth Proportional to 864.09, 1,192.90 and 694.20

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Solution

The fourth proportional to 864.09, 1,192.90 and 694.20 is: 958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.09 : 1,192.90 = 694.20 : x
  2. Step 2: Convert to fraction form
    864.09/1,192.90 = 694.20/x
  3. Step 3: Cross multiply
    864.09x = 1,192.90 × 694.20
  4. Step 4: Simplify right side
    864.09x = 828,111.18
  5. Step 5: Solve for x
    x = 828,111.18/864.09
  6. Step 6: Final answer
    x = 958.36

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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.