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Finding the Fourth Proportional to 929.94, 1,282.74 and 576.03

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Solution

The fourth proportional to 929.94, 1,282.74 and 576.03 is: 794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.94 : 1,282.74 = 576.03 : x
  2. Step 2: Convert to fraction form
    929.94/1,282.74 = 576.03/x
  3. Step 3: Cross multiply
    929.94x = 1,282.74 × 576.03
  4. Step 4: Simplify right side
    929.94x = 738,896.72
  5. Step 5: Solve for x
    x = 738,896.72/929.94
  6. Step 6: Final answer
    x = 794.56

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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.