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Finding the Fourth Proportional to 992.27, 1,488.41 and 407.59

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Solution

The fourth proportional to 992.27, 1,488.41 and 407.59 is: 611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.27 : 1,488.41 = 407.59 : x
  2. Step 2: Convert to fraction form
    992.27/1,488.41 = 407.59/x
  3. Step 3: Cross multiply
    992.27x = 1,488.41 × 407.59
  4. Step 4: Simplify right side
    992.27x = 606,661.03
  5. Step 5: Solve for x
    x = 606,661.03/992.27
  6. Step 6: Final answer
    x = 611.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.