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Finding the Fourth Proportional to 675.90, 1,013.82 and 477.43

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Solution

The fourth proportional to 675.90, 1,013.82 and 477.43 is: 716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.90 : 1,013.82 = 477.43 : x
  2. Step 2: Convert to fraction form
    675.90/1,013.82 = 477.43/x
  3. Step 3: Cross multiply
    675.90x = 1,013.82 × 477.43
  4. Step 4: Simplify right side
    675.90x = 484,023.01
  5. Step 5: Solve for x
    x = 484,023.01/675.90
  6. Step 6: Final answer
    x = 716.12

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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.