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Finding the Fourth Proportional to 992.71, 1,369.83 and 619.93

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Solution

The fourth proportional to 992.71, 1,369.83 and 619.93 is: 855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.71 : 1,369.83 = 619.93 : x
  2. Step 2: Convert to fraction form
    992.71/1,369.83 = 619.93/x
  3. Step 3: Cross multiply
    992.71x = 1,369.83 × 619.93
  4. Step 4: Simplify right side
    992.71x = 849,198.71
  5. Step 5: Solve for x
    x = 849,198.71/992.71
  6. Step 6: Final answer
    x = 855.43

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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.