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Finding the Fourth Proportional to 972.24, 1,457.80 and 664.56

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Solution

The fourth proportional to 972.24, 1,457.80 and 664.56 is: 996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.24 : 1,457.80 = 664.56 : x
  2. Step 2: Convert to fraction form
    972.24/1,457.80 = 664.56/x
  3. Step 3: Cross multiply
    972.24x = 1,457.80 × 664.56
  4. Step 4: Simplify right side
    972.24x = 968,795.57
  5. Step 5: Solve for x
    x = 968,795.57/972.24
  6. Step 6: Final answer
    x = 996.46

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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.