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Finding the Fourth Proportional to 1,176.95, 1,623.63 and 704.57

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Solution

The fourth proportional to 1,176.95, 1,623.63 and 704.57 is: 971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.95 : 1,623.63 = 704.57 : x
  2. Step 2: Convert to fraction form
    1,176.95/1,623.63 = 704.57/x
  3. Step 3: Cross multiply
    1,176.95x = 1,623.63 × 704.57
  4. Step 4: Simplify right side
    1,176.95x = 1,143,960.99
  5. Step 5: Solve for x
    x = 1,143,960.99/1,176.95
  6. Step 6: Final answer
    x = 971.97

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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.