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Finding the Fourth Proportional to 864.04, 1,191.76 and 794.32

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Solution

The fourth proportional to 864.04, 1,191.76 and 794.32 is: 1,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.04 : 1,191.76 = 794.32 : x
  2. Step 2: Convert to fraction form
    864.04/1,191.76 = 794.32/x
  3. Step 3: Cross multiply
    864.04x = 1,191.76 × 794.32
  4. Step 4: Simplify right side
    864.04x = 946,638.80
  5. Step 5: Solve for x
    x = 946,638.80/864.04
  6. Step 6: Final answer
    x = 1,095.60

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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.