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Finding the Fourth Proportional to 972.22, 1,457.87 and 313.97

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Solution

The fourth proportional to 972.22, 1,457.87 and 313.97 is: 470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.22 : 1,457.87 = 313.97 : x
  2. Step 2: Convert to fraction form
    972.22/1,457.87 = 313.97/x
  3. Step 3: Cross multiply
    972.22x = 1,457.87 × 313.97
  4. Step 4: Simplify right side
    972.22x = 457,727.44
  5. Step 5: Solve for x
    x = 457,727.44/972.22
  6. Step 6: Final answer
    x = 470.81

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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.