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Finding the Fourth Proportional to 947.53, 1,421.64 and 427.48

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Solution

The fourth proportional to 947.53, 1,421.64 and 427.48 is: 641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.53 : 1,421.64 = 427.48 : x
  2. Step 2: Convert to fraction form
    947.53/1,421.64 = 427.48/x
  3. Step 3: Cross multiply
    947.53x = 1,421.64 × 427.48
  4. Step 4: Simplify right side
    947.53x = 607,722.67
  5. Step 5: Solve for x
    x = 607,722.67/947.53
  6. Step 6: Final answer
    x = 641.38

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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.