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Finding the Fourth Proportional to 972.75, 1,342.11 and 574.45

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Solution

The fourth proportional to 972.75, 1,342.11 and 574.45 is: 792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.75 : 1,342.11 = 574.45 : x
  2. Step 2: Convert to fraction form
    972.75/1,342.11 = 574.45/x
  3. Step 3: Cross multiply
    972.75x = 1,342.11 × 574.45
  4. Step 4: Simplify right side
    972.75x = 770,974.43
  5. Step 5: Solve for x
    x = 770,974.43/972.75
  6. Step 6: Final answer
    x = 792.57

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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.