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Finding the Fourth Proportional to 1,176.73, 1,764.52 and 628.77

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Solution

The fourth proportional to 1,176.73, 1,764.52 and 628.77 is: 942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.73 : 1,764.52 = 628.77 : x
  2. Step 2: Convert to fraction form
    1,176.73/1,764.52 = 628.77/x
  3. Step 3: Cross multiply
    1,176.73x = 1,764.52 × 628.77
  4. Step 4: Simplify right side
    1,176.73x = 1,109,477.24
  5. Step 5: Solve for x
    x = 1,109,477.24/1,176.73
  6. Step 6: Final answer
    x = 942.85

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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.