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Finding the Fourth Proportional to 947.14, 1,420.74 and 297.88

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Solution

The fourth proportional to 947.14, 1,420.74 and 297.88 is: 446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.14 : 1,420.74 = 297.88 : x
  2. Step 2: Convert to fraction form
    947.14/1,420.74 = 297.88/x
  3. Step 3: Cross multiply
    947.14x = 1,420.74 × 297.88
  4. Step 4: Simplify right side
    947.14x = 423,210.03
  5. Step 5: Solve for x
    x = 423,210.03/947.14
  6. Step 6: Final answer
    x = 446.83

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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.