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Finding the Fourth Proportional to 675.12, 1,012.59 and 431.31

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Solution

The fourth proportional to 675.12, 1,012.59 and 431.31 is: 646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.12 : 1,012.59 = 431.31 : x
  2. Step 2: Convert to fraction form
    675.12/1,012.59 = 431.31/x
  3. Step 3: Cross multiply
    675.12x = 1,012.59 × 431.31
  4. Step 4: Simplify right side
    675.12x = 436,740.19
  5. Step 5: Solve for x
    x = 436,740.19/675.12
  6. Step 6: Final answer
    x = 646.91

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