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Finding the Fourth Proportional to 947.24, 1,420.26 and 653.92

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Solution

The fourth proportional to 947.24, 1,420.26 and 653.92 is: 980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.24 : 1,420.26 = 653.92 : x
  2. Step 2: Convert to fraction form
    947.24/1,420.26 = 653.92/x
  3. Step 3: Cross multiply
    947.24x = 1,420.26 × 653.92
  4. Step 4: Simplify right side
    947.24x = 928,735.74
  5. Step 5: Solve for x
    x = 928,735.74/947.24
  6. Step 6: Final answer
    x = 980.46

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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.