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Finding the Fourth Proportional to 674.68, 1,012.10 and 431.40

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Solution

The fourth proportional to 674.68, 1,012.10 and 431.40 is: 647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.68 : 1,012.10 = 431.40 : x
  2. Step 2: Convert to fraction form
    674.68/1,012.10 = 431.40/x
  3. Step 3: Cross multiply
    674.68x = 1,012.10 × 431.40
  4. Step 4: Simplify right side
    674.68x = 436,619.94
  5. Step 5: Solve for x
    x = 436,619.94/674.68
  6. Step 6: Final answer
    x = 647.15

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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.