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Finding the Fourth Proportional to 675.90, 1,012.02 and 431.70

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Solution

The fourth proportional to 675.90, 1,012.02 and 431.70 is: 646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.90 : 1,012.02 = 431.70 : x
  2. Step 2: Convert to fraction form
    675.90/1,012.02 = 431.70/x
  3. Step 3: Cross multiply
    675.90x = 1,012.02 × 431.70
  4. Step 4: Simplify right side
    675.90x = 436,889.03
  5. Step 5: Solve for x
    x = 436,889.03/675.90
  6. Step 6: Final answer
    x = 646.38

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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.