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Finding the Fourth Proportional to 839.96, 1,159.22 and 485.95

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Solution

The fourth proportional to 839.96, 1,159.22 and 485.95 is: 670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.96 : 1,159.22 = 485.95 : x
  2. Step 2: Convert to fraction form
    839.96/1,159.22 = 485.95/x
  3. Step 3: Cross multiply
    839.96x = 1,159.22 × 485.95
  4. Step 4: Simplify right side
    839.96x = 563,322.96
  5. Step 5: Solve for x
    x = 563,322.96/839.96
  6. Step 6: Final answer
    x = 670.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.