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Finding the Fourth Proportional to 1,688.38, 2,532.24 and 455.80

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Solution

The fourth proportional to 1,688.38, 2,532.24 and 455.80 is: 683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.38 : 2,532.24 = 455.80 : x
  2. Step 2: Convert to fraction form
    1,688.38/2,532.24 = 455.80/x
  3. Step 3: Cross multiply
    1,688.38x = 2,532.24 × 455.80
  4. Step 4: Simplify right side
    1,688.38x = 1,154,194.99
  5. Step 5: Solve for x
    x = 1,154,194.99/1,688.38
  6. Step 6: Final answer
    x = 683.61

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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.