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Finding the Fourth Proportional to 1,480.86, 2,221.29 and 385.13

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Solution

The fourth proportional to 1,480.86, 2,221.29 and 385.13 is: 577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.86 : 2,221.29 = 385.13 : x
  2. Step 2: Convert to fraction form
    1,480.86/2,221.29 = 385.13/x
  3. Step 3: Cross multiply
    1,480.86x = 2,221.29 × 385.13
  4. Step 4: Simplify right side
    1,480.86x = 855,485.42
  5. Step 5: Solve for x
    x = 855,485.42/1,480.86
  6. Step 6: Final answer
    x = 577.70

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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.