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Finding the Fourth Proportional to 839.94, 1,259.70 and 400.92

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Solution

The fourth proportional to 839.94, 1,259.70 and 400.92 is: 601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.94 : 1,259.70 = 400.92 : x
  2. Step 2: Convert to fraction form
    839.94/1,259.70 = 400.92/x
  3. Step 3: Cross multiply
    839.94x = 1,259.70 × 400.92
  4. Step 4: Simplify right side
    839.94x = 505,038.92
  5. Step 5: Solve for x
    x = 505,038.92/839.94
  6. Step 6: Final answer
    x = 601.28

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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.