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Finding the Fourth Proportional to 972.45, 1,457.06 and 683.37

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Solution

The fourth proportional to 972.45, 1,457.06 and 683.37 is: 1,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.45 : 1,457.06 = 683.37 : x
  2. Step 2: Convert to fraction form
    972.45/1,457.06 = 683.37/x
  3. Step 3: Cross multiply
    972.45x = 1,457.06 × 683.37
  4. Step 4: Simplify right side
    972.45x = 995,707.68
  5. Step 5: Solve for x
    x = 995,707.68/972.45
  6. Step 6: Final answer
    x = 1,023.92

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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.