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Finding the Fourth Proportional to 972.70, 1,457.43 and 683.62

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Solution

The fourth proportional to 972.70, 1,457.43 and 683.62 is: 1,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.70 : 1,457.43 = 683.62 : x
  2. Step 2: Convert to fraction form
    972.70/1,457.43 = 683.62/x
  3. Step 3: Cross multiply
    972.70x = 1,457.43 × 683.62
  4. Step 4: Simplify right side
    972.70x = 996,328.30
  5. Step 5: Solve for x
    x = 996,328.30/972.70
  6. Step 6: Final answer
    x = 1,024.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.