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Finding the Fourth Proportional to 1,628.05, 2,442.25 and 473.80

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Solution

The fourth proportional to 1,628.05, 2,442.25 and 473.80 is: 710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.05 : 2,442.25 = 473.80 : x
  2. Step 2: Convert to fraction form
    1,628.05/2,442.25 = 473.80/x
  3. Step 3: Cross multiply
    1,628.05x = 2,442.25 × 473.80
  4. Step 4: Simplify right side
    1,628.05x = 1,157,135.68
  5. Step 5: Solve for x
    x = 1,157,135.68/1,628.05
  6. Step 6: Final answer
    x = 710.75

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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.