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Finding the Fourth Proportional to 1,380.67, 2,070.09 and 547.47

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Solution

The fourth proportional to 1,380.67, 2,070.09 and 547.47 is: 820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.67 : 2,070.09 = 547.47 : x
  2. Step 2: Convert to fraction form
    1,380.67/2,070.09 = 547.47/x
  3. Step 3: Cross multiply
    1,380.67x = 2,070.09 × 547.47
  4. Step 4: Simplify right side
    1,380.67x = 1,133,312.17
  5. Step 5: Solve for x
    x = 1,133,312.17/1,380.67
  6. Step 6: Final answer
    x = 820.84

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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.