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Finding the Fourth Proportional to 1,380.46, 2,070.71 and 456.11

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Solution

The fourth proportional to 1,380.46, 2,070.71 and 456.11 is: 684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.46 : 2,070.71 = 456.11 : x
  2. Step 2: Convert to fraction form
    1,380.46/2,070.71 = 456.11/x
  3. Step 3: Cross multiply
    1,380.46x = 2,070.71 × 456.11
  4. Step 4: Simplify right side
    1,380.46x = 944,471.54
  5. Step 5: Solve for x
    x = 944,471.54/1,380.46
  6. Step 6: Final answer
    x = 684.17

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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.