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Finding the Fourth Proportional to 947.90, 1,421.85 and 624.71

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Solution

The fourth proportional to 947.90, 1,421.85 and 624.71 is: 937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.90 : 1,421.85 = 624.71 : x
  2. Step 2: Convert to fraction form
    947.90/1,421.85 = 624.71/x
  3. Step 3: Cross multiply
    947.90x = 1,421.85 × 624.71
  4. Step 4: Simplify right side
    947.90x = 888,249.81
  5. Step 5: Solve for x
    x = 888,249.81/947.90
  6. Step 6: Final answer
    x = 937.07

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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.