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Finding the Fourth Proportional to 947.14, 1,420.17 and 362.11

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Solution

The fourth proportional to 947.14, 1,420.17 and 362.11 is: 542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.14 : 1,420.17 = 362.11 : x
  2. Step 2: Convert to fraction form
    947.14/1,420.17 = 362.11/x
  3. Step 3: Cross multiply
    947.14x = 1,420.17 × 362.11
  4. Step 4: Simplify right side
    947.14x = 514,257.76
  5. Step 5: Solve for x
    x = 514,257.76/947.14
  6. Step 6: Final answer
    x = 542.96

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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.