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Finding the Fourth Proportional to 674.70, 1,012.05 and 383.10

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Solution

The fourth proportional to 674.70, 1,012.05 and 383.10 is: 574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.70 : 1,012.05 = 383.10 : x
  2. Step 2: Convert to fraction form
    674.70/1,012.05 = 383.10/x
  3. Step 3: Cross multiply
    674.70x = 1,012.05 × 383.10
  4. Step 4: Simplify right side
    674.70x = 387,716.36
  5. Step 5: Solve for x
    x = 387,716.36/674.70
  6. Step 6: Final answer
    x = 574.65

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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.