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Finding the Fourth Proportional to 992.40, 1,486.36 and 796.72

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Solution

The fourth proportional to 992.40, 1,486.36 and 796.72 is: 1,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.40 : 1,486.36 = 796.72 : x
  2. Step 2: Convert to fraction form
    992.40/1,486.36 = 796.72/x
  3. Step 3: Cross multiply
    992.40x = 1,486.36 × 796.72
  4. Step 4: Simplify right side
    992.40x = 1,184,212.74
  5. Step 5: Solve for x
    x = 1,184,212.74/992.40
  6. Step 6: Final answer
    x = 1,193.28

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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.