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Finding the Fourth Proportional to 992.72, 1,370.04 and 845.84

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Solution

The fourth proportional to 992.72, 1,370.04 and 845.84 is: 1,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.72 : 1,370.04 = 845.84 : x
  2. Step 2: Convert to fraction form
    992.72/1,370.04 = 845.84/x
  3. Step 3: Cross multiply
    992.72x = 1,370.04 × 845.84
  4. Step 4: Simplify right side
    992.72x = 1,158,834.63
  5. Step 5: Solve for x
    x = 1,158,834.63/992.72
  6. Step 6: Final answer
    x = 1,167.33

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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.