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Finding the Fourth Proportional to 951.62, 1,427.65 and 403.82

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Solution

The fourth proportional to 951.62, 1,427.65 and 403.82 is: 605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.62 : 1,427.65 = 403.82 : x
  2. Step 2: Convert to fraction form
    951.62/1,427.65 = 403.82/x
  3. Step 3: Cross multiply
    951.62x = 1,427.65 × 403.82
  4. Step 4: Simplify right side
    951.62x = 576,513.62
  5. Step 5: Solve for x
    x = 576,513.62/951.62
  6. Step 6: Final answer
    x = 605.82

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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.