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Finding the Fourth Proportional to 688.65, 1,032.90 and 255.75

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Solution

The fourth proportional to 688.65, 1,032.90 and 255.75 is: 383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.65 : 1,032.90 = 255.75 : x
  2. Step 2: Convert to fraction form
    688.65/1,032.90 = 255.75/x
  3. Step 3: Cross multiply
    688.65x = 1,032.90 × 255.75
  4. Step 4: Simplify right side
    688.65x = 264,164.18
  5. Step 5: Solve for x
    x = 264,164.18/688.65
  6. Step 6: Final answer
    x = 383.60

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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.