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Finding the Fourth Proportional to 1,182.85, 1,771.40 and 796.93

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Solution

The fourth proportional to 1,182.85, 1,771.40 and 796.93 is: 1,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.85 : 1,771.40 = 796.93 : x
  2. Step 2: Convert to fraction form
    1,182.85/1,771.40 = 796.93/x
  3. Step 3: Cross multiply
    1,182.85x = 1,771.40 × 796.93
  4. Step 4: Simplify right side
    1,182.85x = 1,411,677.82
  5. Step 5: Solve for x
    x = 1,411,677.82/1,182.85
  6. Step 6: Final answer
    x = 1,193.45

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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.