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Finding the Fourth Proportional to 839.97, 1,159.31 and 486.09

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Solution

The fourth proportional to 839.97, 1,159.31 and 486.09 is: 670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.97 : 1,159.31 = 486.09 : x
  2. Step 2: Convert to fraction form
    839.97/1,159.31 = 486.09/x
  3. Step 3: Cross multiply
    839.97x = 1,159.31 × 486.09
  4. Step 4: Simplify right side
    839.97x = 563,526.57
  5. Step 5: Solve for x
    x = 563,526.57/839.97
  6. Step 6: Final answer
    x = 670.89

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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.