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Finding the Fourth Proportional to 688.59, 1,032.88 and 416.43

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Solution

The fourth proportional to 688.59, 1,032.88 and 416.43 is: 624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.59 : 1,032.88 = 416.43 : x
  2. Step 2: Convert to fraction form
    688.59/1,032.88 = 416.43/x
  3. Step 3: Cross multiply
    688.59x = 1,032.88 × 416.43
  4. Step 4: Simplify right side
    688.59x = 430,122.22
  5. Step 5: Solve for x
    x = 430,122.22/688.59
  6. Step 6: Final answer
    x = 624.64

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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.