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Finding the Fourth Proportional to 942.56, 1,300.73 and 522.92

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Solution

The fourth proportional to 942.56, 1,300.73 and 522.92 is: 721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.56 : 1,300.73 = 522.92 : x
  2. Step 2: Convert to fraction form
    942.56/1,300.73 = 522.92/x
  3. Step 3: Cross multiply
    942.56x = 1,300.73 × 522.92
  4. Step 4: Simplify right side
    942.56x = 680,172.54
  5. Step 5: Solve for x
    x = 680,172.54/942.56
  6. Step 6: Final answer
    x = 721.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.