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Finding the Fourth Proportional to 947.72, 1,421.06 and 400.04

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Solution

The fourth proportional to 947.72, 1,421.06 and 400.04 is: 599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.72 : 1,421.06 = 400.04 : x
  2. Step 2: Convert to fraction form
    947.72/1,421.06 = 400.04/x
  3. Step 3: Cross multiply
    947.72x = 1,421.06 × 400.04
  4. Step 4: Simplify right side
    947.72x = 568,480.84
  5. Step 5: Solve for x
    x = 568,480.84/947.72
  6. Step 6: Final answer
    x = 599.84

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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.