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Finding the Fourth Proportional to 861.09, 1,291.64 and 313.04

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Solution

The fourth proportional to 861.09, 1,291.64 and 313.04 is: 469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.09 : 1,291.64 = 313.04 : x
  2. Step 2: Convert to fraction form
    861.09/1,291.64 = 313.04/x
  3. Step 3: Cross multiply
    861.09x = 1,291.64 × 313.04
  4. Step 4: Simplify right side
    861.09x = 404,326.96
  5. Step 5: Solve for x
    x = 404,326.96/861.09
  6. Step 6: Final answer
    x = 469.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.