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Finding the Fourth Proportional to 992.45, 1,369.53 and 661.50

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Solution

The fourth proportional to 992.45, 1,369.53 and 661.50 is: 912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.45 : 1,369.53 = 661.50 : x
  2. Step 2: Convert to fraction form
    992.45/1,369.53 = 661.50/x
  3. Step 3: Cross multiply
    992.45x = 1,369.53 × 661.50
  4. Step 4: Simplify right side
    992.45x = 905,944.10
  5. Step 5: Solve for x
    x = 905,944.10/992.45
  6. Step 6: Final answer
    x = 912.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.