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Finding the Fourth Proportional to 1,472.03, 2,206.57 and 650.16

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Solution

The fourth proportional to 1,472.03, 2,206.57 and 650.16 is: 974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.03 : 2,206.57 = 650.16 : x
  2. Step 2: Convert to fraction form
    1,472.03/2,206.57 = 650.16/x
  3. Step 3: Cross multiply
    1,472.03x = 2,206.57 × 650.16
  4. Step 4: Simplify right side
    1,472.03x = 1,434,621.93
  5. Step 5: Solve for x
    x = 1,434,621.93/1,472.03
  6. Step 6: Final answer
    x = 974.59

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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.