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Finding the Fourth Proportional to 972.74, 1,458.43 and 452.19

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Solution

The fourth proportional to 972.74, 1,458.43 and 452.19 is: 677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.74 : 1,458.43 = 452.19 : x
  2. Step 2: Convert to fraction form
    972.74/1,458.43 = 452.19/x
  3. Step 3: Cross multiply
    972.74x = 1,458.43 × 452.19
  4. Step 4: Simplify right side
    972.74x = 659,485.20
  5. Step 5: Solve for x
    x = 659,485.20/972.74
  6. Step 6: Final answer
    x = 677.97

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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.