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Finding the Fourth Proportional to 688.98, 1,032.09 and 414.93

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Solution

The fourth proportional to 688.98, 1,032.09 and 414.93 is: 621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.98 : 1,032.09 = 414.93 : x
  2. Step 2: Convert to fraction form
    688.98/1,032.09 = 414.93/x
  3. Step 3: Cross multiply
    688.98x = 1,032.09 × 414.93
  4. Step 4: Simplify right side
    688.98x = 428,245.10
  5. Step 5: Solve for x
    x = 428,245.10/688.98
  6. Step 6: Final answer
    x = 621.56

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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.