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Finding the Fourth Proportional to 661.68, 992.90 and 610.67

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Solution

The fourth proportional to 661.68, 992.90 and 610.67 is: 916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.68 : 992.90 = 610.67 : x
  2. Step 2: Convert to fraction form
    661.68/992.90 = 610.67/x
  3. Step 3: Cross multiply
    661.68x = 992.90 × 610.67
  4. Step 4: Simplify right side
    661.68x = 606,338.25
  5. Step 5: Solve for x
    x = 606,338.25/661.68
  6. Step 6: Final answer
    x = 916.36

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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.