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Finding the Fourth Proportional to 972.60, 1,459.11 and 452.22

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Solution

The fourth proportional to 972.60, 1,459.11 and 452.22 is: 678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.60 : 1,459.11 = 452.22 : x
  2. Step 2: Convert to fraction form
    972.60/1,459.11 = 452.22/x
  3. Step 3: Cross multiply
    972.60x = 1,459.11 × 452.22
  4. Step 4: Simplify right side
    972.60x = 659,838.72
  5. Step 5: Solve for x
    x = 659,838.72/972.60
  6. Step 6: Final answer
    x = 678.43

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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.