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Finding the Fourth Proportional to 688.10, 1,032.24 and 445.70

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Solution

The fourth proportional to 688.10, 1,032.24 and 445.70 is: 668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.10 : 1,032.24 = 445.70 : x
  2. Step 2: Convert to fraction form
    688.10/1,032.24 = 445.70/x
  3. Step 3: Cross multiply
    688.10x = 1,032.24 × 445.70
  4. Step 4: Simplify right side
    688.10x = 460,064.21
  5. Step 5: Solve for x
    x = 460,064.21/688.10
  6. Step 6: Final answer
    x = 668.61

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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.