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Finding the Fourth Proportional to 839.80, 1,259.25 and 291.82

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Solution

The fourth proportional to 839.80, 1,259.25 and 291.82 is: 437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.80 : 1,259.25 = 291.82 : x
  2. Step 2: Convert to fraction form
    839.80/1,259.25 = 291.82/x
  3. Step 3: Cross multiply
    839.80x = 1,259.25 × 291.82
  4. Step 4: Simplify right side
    839.80x = 367,474.34
  5. Step 5: Solve for x
    x = 367,474.34/839.80
  6. Step 6: Final answer
    x = 437.57

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Why These Related Problems?

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