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Finding the Fourth Proportional to 672.58, 1,007.61 and 428.59

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Solution

The fourth proportional to 672.58, 1,007.61 and 428.59 is: 642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.58 : 1,007.61 = 428.59 : x
  2. Step 2: Convert to fraction form
    672.58/1,007.61 = 428.59/x
  3. Step 3: Cross multiply
    672.58x = 1,007.61 × 428.59
  4. Step 4: Simplify right side
    672.58x = 431,851.57
  5. Step 5: Solve for x
    x = 431,851.57/672.58
  6. Step 6: Final answer
    x = 642.08

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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.