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Finding the Fourth Proportional to 1,204.14, 1,805.74 and 473.32

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Solution

The fourth proportional to 1,204.14, 1,805.74 and 473.32 is: 709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.14 : 1,805.74 = 473.32 : x
  2. Step 2: Convert to fraction form
    1,204.14/1,805.74 = 473.32/x
  3. Step 3: Cross multiply
    1,204.14x = 1,805.74 × 473.32
  4. Step 4: Simplify right side
    1,204.14x = 854,692.86
  5. Step 5: Solve for x
    x = 854,692.86/1,204.14
  6. Step 6: Final answer
    x = 709.80

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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.