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Finding the Fourth Proportional to 964.86, 1,326.60 and 858.96

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Solution

The fourth proportional to 964.86, 1,326.60 and 858.96 is: 1,181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.86 : 1,326.60 = 858.96 : x
  2. Step 2: Convert to fraction form
    964.86/1,326.60 = 858.96/x
  3. Step 3: Cross multiply
    964.86x = 1,326.60 × 858.96
  4. Step 4: Simplify right side
    964.86x = 1,139,496.34
  5. Step 5: Solve for x
    x = 1,139,496.34/964.86
  6. Step 6: Final answer
    x = 1,181.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.