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Finding the Fourth Proportional to 864.69, 1,191.04 and 677.84

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Solution

The fourth proportional to 864.69, 1,191.04 and 677.84 is: 933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.69 : 1,191.04 = 677.84 : x
  2. Step 2: Convert to fraction form
    864.69/1,191.04 = 677.84/x
  3. Step 3: Cross multiply
    864.69x = 1,191.04 × 677.84
  4. Step 4: Simplify right side
    864.69x = 807,326.90
  5. Step 5: Solve for x
    x = 807,326.90/864.69
  6. Step 6: Final answer
    x = 933.66

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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.