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Finding the Fourth Proportional to 972.48, 1,457.10 and 682.50

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Solution

The fourth proportional to 972.48, 1,457.10 and 682.50 is: 1,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.48 : 1,457.10 = 682.50 : x
  2. Step 2: Convert to fraction form
    972.48/1,457.10 = 682.50/x
  3. Step 3: Cross multiply
    972.48x = 1,457.10 × 682.50
  4. Step 4: Simplify right side
    972.48x = 994,470.75
  5. Step 5: Solve for x
    x = 994,470.75/972.48
  6. Step 6: Final answer
    x = 1,022.61

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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.