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Finding the Fourth Proportional to 839.54, 1,259.32 and 291.73

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Solution

The fourth proportional to 839.54, 1,259.32 and 291.73 is: 437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.54 : 1,259.32 = 291.73 : x
  2. Step 2: Convert to fraction form
    839.54/1,259.32 = 291.73/x
  3. Step 3: Cross multiply
    839.54x = 1,259.32 × 291.73
  4. Step 4: Simplify right side
    839.54x = 367,381.42
  5. Step 5: Solve for x
    x = 367,381.42/839.54
  6. Step 6: Final answer
    x = 437.60

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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.