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Finding the Fourth Proportional to 672.93, 1,008.57 and 412.11

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Solution

The fourth proportional to 672.93, 1,008.57 and 412.11 is: 617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.93 : 1,008.57 = 412.11 : x
  2. Step 2: Convert to fraction form
    672.93/1,008.57 = 412.11/x
  3. Step 3: Cross multiply
    672.93x = 1,008.57 × 412.11
  4. Step 4: Simplify right side
    672.93x = 415,641.78
  5. Step 5: Solve for x
    x = 415,641.78/672.93
  6. Step 6: Final answer
    x = 617.66

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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.