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Finding the Fourth Proportional to 839.93, 1,259.10 and 406.49

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Solution

The fourth proportional to 839.93, 1,259.10 and 406.49 is: 609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.93 : 1,259.10 = 406.49 : x
  2. Step 2: Convert to fraction form
    839.93/1,259.10 = 406.49/x
  3. Step 3: Cross multiply
    839.93x = 1,259.10 × 406.49
  4. Step 4: Simplify right side
    839.93x = 511,809.53
  5. Step 5: Solve for x
    x = 511,809.53/839.93
  6. Step 6: Final answer
    x = 609.35

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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.