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Finding the Fourth Proportional to 1,295.98, 1,944.08 and 406.45

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Solution

The fourth proportional to 1,295.98, 1,944.08 and 406.45 is: 609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.98 : 1,944.08 = 406.45 : x
  2. Step 2: Convert to fraction form
    1,295.98/1,944.08 = 406.45/x
  3. Step 3: Cross multiply
    1,295.98x = 1,944.08 × 406.45
  4. Step 4: Simplify right side
    1,295.98x = 790,171.32
  5. Step 5: Solve for x
    x = 790,171.32/1,295.98
  6. Step 6: Final answer
    x = 609.71

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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.