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Finding the Fourth Proportional to 1,380.11, 2,070.23 and 455.49

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Solution

The fourth proportional to 1,380.11, 2,070.23 and 455.49 is: 683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.11 : 2,070.23 = 455.49 : x
  2. Step 2: Convert to fraction form
    1,380.11/2,070.23 = 455.49/x
  3. Step 3: Cross multiply
    1,380.11x = 2,070.23 × 455.49
  4. Step 4: Simplify right side
    1,380.11x = 942,966.79
  5. Step 5: Solve for x
    x = 942,966.79/1,380.11
  6. Step 6: Final answer
    x = 683.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.