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Finding the Fourth Proportional to 947.94, 1,421.22 and 742.95

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Solution

The fourth proportional to 947.94, 1,421.22 and 742.95 is: 1,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.94 : 1,421.22 = 742.95 : x
  2. Step 2: Convert to fraction form
    947.94/1,421.22 = 742.95/x
  3. Step 3: Cross multiply
    947.94x = 1,421.22 × 742.95
  4. Step 4: Simplify right side
    947.94x = 1,055,895.40
  5. Step 5: Solve for x
    x = 1,055,895.40/947.94
  6. Step 6: Final answer
    x = 1,113.88

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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.