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Finding the Fourth Proportional to 947.21, 1,420.72 and 297.83

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Solution

The fourth proportional to 947.21, 1,420.72 and 297.83 is: 446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.21 : 1,420.72 = 297.83 : x
  2. Step 2: Convert to fraction form
    947.21/1,420.72 = 297.83/x
  3. Step 3: Cross multiply
    947.21x = 1,420.72 × 297.83
  4. Step 4: Simplify right side
    947.21x = 423,133.04
  5. Step 5: Solve for x
    x = 423,133.04/947.21
  6. Step 6: Final answer
    x = 446.72

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Why These Related Problems?

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