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Finding the Fourth Proportional to 688.67, 1,032.24 and 380.36

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Solution

The fourth proportional to 688.67, 1,032.24 and 380.36 is: 570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.67 : 1,032.24 = 380.36 : x
  2. Step 2: Convert to fraction form
    688.67/1,032.24 = 380.36/x
  3. Step 3: Cross multiply
    688.67x = 1,032.24 × 380.36
  4. Step 4: Simplify right side
    688.67x = 392,622.81
  5. Step 5: Solve for x
    x = 392,622.81/688.67
  6. Step 6: Final answer
    x = 570.12

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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.