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Finding the Fourth Proportional to 956.82, 1,435.68 and 610.54

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Solution

The fourth proportional to 956.82, 1,435.68 and 610.54 is: 916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.82 : 1,435.68 = 610.54 : x
  2. Step 2: Convert to fraction form
    956.82/1,435.68 = 610.54/x
  3. Step 3: Cross multiply
    956.82x = 1,435.68 × 610.54
  4. Step 4: Simplify right side
    956.82x = 876,540.07
  5. Step 5: Solve for x
    x = 876,540.07/956.82
  6. Step 6: Final answer
    x = 916.10

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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.