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Finding the Fourth Proportional to 1,380.11, 2,070.77 and 730.89

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Solution

The fourth proportional to 1,380.11, 2,070.77 and 730.89 is: 1,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.11 : 2,070.77 = 730.89 : x
  2. Step 2: Convert to fraction form
    1,380.11/2,070.77 = 730.89/x
  3. Step 3: Cross multiply
    1,380.11x = 2,070.77 × 730.89
  4. Step 4: Simplify right side
    1,380.11x = 1,513,501.43
  5. Step 5: Solve for x
    x = 1,513,501.43/1,380.11
  6. Step 6: Final answer
    x = 1,096.66

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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.