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Finding the Fourth Proportional to 1,179.12, 1,766.56 and 658.50

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Solution

The fourth proportional to 1,179.12, 1,766.56 and 658.50 is: 986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.12 : 1,766.56 = 658.50 : x
  2. Step 2: Convert to fraction form
    1,179.12/1,766.56 = 658.50/x
  3. Step 3: Cross multiply
    1,179.12x = 1,766.56 × 658.50
  4. Step 4: Simplify right side
    1,179.12x = 1,163,279.76
  5. Step 5: Solve for x
    x = 1,163,279.76/1,179.12
  6. Step 6: Final answer
    x = 986.57

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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.