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Finding the Fourth Proportional to 839.42, 1,259.13 and 262.25

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Solution

The fourth proportional to 839.42, 1,259.13 and 262.25 is: 393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.42 : 1,259.13 = 262.25 : x
  2. Step 2: Convert to fraction form
    839.42/1,259.13 = 262.25/x
  3. Step 3: Cross multiply
    839.42x = 1,259.13 × 262.25
  4. Step 4: Simplify right side
    839.42x = 330,206.84
  5. Step 5: Solve for x
    x = 330,206.84/839.42
  6. Step 6: Final answer
    x = 393.38

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1.5x scale

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.