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Finding the Fourth Proportional to 674.84, 1,011.72 and 431.30

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Solution

The fourth proportional to 674.84, 1,011.72 and 431.30 is: 646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.84 : 1,011.72 = 431.30 : x
  2. Step 2: Convert to fraction form
    674.84/1,011.72 = 431.30/x
  3. Step 3: Cross multiply
    674.84x = 1,011.72 × 431.30
  4. Step 4: Simplify right side
    674.84x = 436,354.84
  5. Step 5: Solve for x
    x = 436,354.84/674.84
  6. Step 6: Final answer
    x = 646.60

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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.