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Finding the Fourth Proportional to 700.94, 1,052.02 and 484.67

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Solution

The fourth proportional to 700.94, 1,052.02 and 484.67 is: 727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.94 : 1,052.02 = 484.67 : x
  2. Step 2: Convert to fraction form
    700.94/1,052.02 = 484.67/x
  3. Step 3: Cross multiply
    700.94x = 1,052.02 × 484.67
  4. Step 4: Simplify right side
    700.94x = 509,882.53
  5. Step 5: Solve for x
    x = 509,882.53/700.94
  6. Step 6: Final answer
    x = 727.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.