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Finding the Fourth Proportional to 992.47, 1,369.27 and 619.31

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Solution

The fourth proportional to 992.47, 1,369.27 and 619.31 is: 854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.47 : 1,369.27 = 619.31 : x
  2. Step 2: Convert to fraction form
    992.47/1,369.27 = 619.31/x
  3. Step 3: Cross multiply
    992.47x = 1,369.27 × 619.31
  4. Step 4: Simplify right side
    992.47x = 847,998.41
  5. Step 5: Solve for x
    x = 847,998.41/992.47
  6. Step 6: Final answer
    x = 854.44

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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.