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Finding the Fourth Proportional to 674.87, 1,014.15 and 401.02

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Solution

The fourth proportional to 674.87, 1,014.15 and 401.02 is: 602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.87 : 1,014.15 = 401.02 : x
  2. Step 2: Convert to fraction form
    674.87/1,014.15 = 401.02/x
  3. Step 3: Cross multiply
    674.87x = 1,014.15 × 401.02
  4. Step 4: Simplify right side
    674.87x = 406,693.40
  5. Step 5: Solve for x
    x = 406,693.40/674.87
  6. Step 6: Final answer
    x = 602.63

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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.