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Finding the Fourth Proportional to 1,176.69, 1,623.83 and 645.58

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Solution

The fourth proportional to 1,176.69, 1,623.83 and 645.58 is: 890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.69 : 1,623.83 = 645.58 : x
  2. Step 2: Convert to fraction form
    1,176.69/1,623.83 = 645.58/x
  3. Step 3: Cross multiply
    1,176.69x = 1,623.83 × 645.58
  4. Step 4: Simplify right side
    1,176.69x = 1,048,309.73
  5. Step 5: Solve for x
    x = 1,048,309.73/1,176.69
  6. Step 6: Final answer
    x = 890.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.