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Finding the Fourth Proportional to 1,176.99, 1,624.04 and 762.75

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Solution

The fourth proportional to 1,176.99, 1,624.04 and 762.75 is: 1,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.99 : 1,624.04 = 762.75 : x
  2. Step 2: Convert to fraction form
    1,176.99/1,624.04 = 762.75/x
  3. Step 3: Cross multiply
    1,176.99x = 1,624.04 × 762.75
  4. Step 4: Simplify right side
    1,176.99x = 1,238,732.70
  5. Step 5: Solve for x
    x = 1,238,732.70/1,176.99
  6. Step 6: Final answer
    x = 1,052.46

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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.