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Finding the Fourth Proportional to 688.67, 1,033.52 and 429.05

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Solution

The fourth proportional to 688.67, 1,033.52 and 429.05 is: 643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.67 : 1,033.52 = 429.05 : x
  2. Step 2: Convert to fraction form
    688.67/1,033.52 = 429.05/x
  3. Step 3: Cross multiply
    688.67x = 1,033.52 × 429.05
  4. Step 4: Simplify right side
    688.67x = 443,431.76
  5. Step 5: Solve for x
    x = 443,431.76/688.67
  6. Step 6: Final answer
    x = 643.90

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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.