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Finding the Fourth Proportional to 1,380.13, 2,070.08 and 455.67

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Solution

The fourth proportional to 1,380.13, 2,070.08 and 455.67 is: 683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.13 : 2,070.08 = 455.67 : x
  2. Step 2: Convert to fraction form
    1,380.13/2,070.08 = 455.67/x
  3. Step 3: Cross multiply
    1,380.13x = 2,070.08 × 455.67
  4. Step 4: Simplify right side
    1,380.13x = 943,260.72
  5. Step 5: Solve for x
    x = 943,260.72/1,380.13
  6. Step 6: Final answer
    x = 683.46

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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.