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Finding the Fourth Proportional to 677.14, 1,015.67 and 433.13

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Solution

The fourth proportional to 677.14, 1,015.67 and 433.13 is: 649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.14 : 1,015.67 = 433.13 : x
  2. Step 2: Convert to fraction form
    677.14/1,015.67 = 433.13/x
  3. Step 3: Cross multiply
    677.14x = 1,015.67 × 433.13
  4. Step 4: Simplify right side
    677.14x = 439,912.07
  5. Step 5: Solve for x
    x = 439,912.07/677.14
  6. Step 6: Final answer
    x = 649.66

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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.