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Finding the Fourth Proportional to 992.58, 1,369.95 and 594.27

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Solution

The fourth proportional to 992.58, 1,369.95 and 594.27 is: 820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.58 : 1,369.95 = 594.27 : x
  2. Step 2: Convert to fraction form
    992.58/1,369.95 = 594.27/x
  3. Step 3: Cross multiply
    992.58x = 1,369.95 × 594.27
  4. Step 4: Simplify right side
    992.58x = 814,120.19
  5. Step 5: Solve for x
    x = 814,120.19/992.58
  6. Step 6: Final answer
    x = 820.21

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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.