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Finding the Fourth Proportional to 1,176.35, 1,623.25 and 704.15

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Solution

The fourth proportional to 1,176.35, 1,623.25 and 704.15 is: 971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.35 : 1,623.25 = 704.15 : x
  2. Step 2: Convert to fraction form
    1,176.35/1,623.25 = 704.15/x
  3. Step 3: Cross multiply
    1,176.35x = 1,623.25 × 704.15
  4. Step 4: Simplify right side
    1,176.35x = 1,143,011.49
  5. Step 5: Solve for x
    x = 1,143,011.49/1,176.35
  6. Step 6: Final answer
    x = 971.66

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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.