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Finding the Fourth Proportional to 1,480.68, 2,221.12 and 385.08

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Solution

The fourth proportional to 1,480.68, 2,221.12 and 385.08 is: 577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.68 : 2,221.12 = 385.08 : x
  2. Step 2: Convert to fraction form
    1,480.68/2,221.12 = 385.08/x
  3. Step 3: Cross multiply
    1,480.68x = 2,221.12 × 385.08
  4. Step 4: Simplify right side
    1,480.68x = 855,308.89
  5. Step 5: Solve for x
    x = 855,308.89/1,480.68
  6. Step 6: Final answer
    x = 577.65

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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.