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Finding the Fourth Proportional to 839.95, 1,159.01 and 490.57

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Solution

The fourth proportional to 839.95, 1,159.01 and 490.57 is: 676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.95 : 1,159.01 = 490.57 : x
  2. Step 2: Convert to fraction form
    839.95/1,159.01 = 490.57/x
  3. Step 3: Cross multiply
    839.95x = 1,159.01 × 490.57
  4. Step 4: Simplify right side
    839.95x = 568,572.02
  5. Step 5: Solve for x
    x = 568,572.02/839.95
  6. Step 6: Final answer
    x = 676.91

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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.