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Finding the Fourth Proportional to 992.63, 1,369.81 and 614.42

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Solution

The fourth proportional to 992.63, 1,369.81 and 614.42 is: 847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.63 : 1,369.81 = 614.42 : x
  2. Step 2: Convert to fraction form
    992.63/1,369.81 = 614.42/x
  3. Step 3: Cross multiply
    992.63x = 1,369.81 × 614.42
  4. Step 4: Simplify right side
    992.63x = 841,635.69
  5. Step 5: Solve for x
    x = 841,635.69/992.63
  6. Step 6: Final answer
    x = 847.89

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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.