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Finding the Fourth Proportional to 1,204.31, 1,805.25 and 473.60

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Solution

The fourth proportional to 1,204.31, 1,805.25 and 473.60 is: 709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.31 : 1,805.25 = 473.60 : x
  2. Step 2: Convert to fraction form
    1,204.31/1,805.25 = 473.60/x
  3. Step 3: Cross multiply
    1,204.31x = 1,805.25 × 473.60
  4. Step 4: Simplify right side
    1,204.31x = 854,966.40
  5. Step 5: Solve for x
    x = 854,966.40/1,204.31
  6. Step 6: Final answer
    x = 709.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.