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Finding the Fourth Proportional to 1,176.57, 1,623.68 and 645.50

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Solution

The fourth proportional to 1,176.57, 1,623.68 and 645.50 is: 890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.57 : 1,623.68 = 645.50 : x
  2. Step 2: Convert to fraction form
    1,176.57/1,623.68 = 645.50/x
  3. Step 3: Cross multiply
    1,176.57x = 1,623.68 × 645.50
  4. Step 4: Simplify right side
    1,176.57x = 1,048,091.11
  5. Step 5: Solve for x
    x = 1,048,091.11/1,176.57
  6. Step 6: Final answer
    x = 890.80

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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.