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Finding the Fourth Proportional to 688.06, 1,032.36 and 255.25

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Solution

The fourth proportional to 688.06, 1,032.36 and 255.25 is: 382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.06 : 1,032.36 = 255.25 : x
  2. Step 2: Convert to fraction form
    688.06/1,032.36 = 255.25/x
  3. Step 3: Cross multiply
    688.06x = 1,032.36 × 255.25
  4. Step 4: Simplify right side
    688.06x = 263,509.89
  5. Step 5: Solve for x
    x = 263,509.89/688.06
  6. Step 6: Final answer
    x = 382.98

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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.