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Finding the Fourth Proportional to 677.50, 1,015.34 and 433.49

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Solution

The fourth proportional to 677.50, 1,015.34 and 433.49 is: 649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.50 : 1,015.34 = 433.49 : x
  2. Step 2: Convert to fraction form
    677.50/1,015.34 = 433.49/x
  3. Step 3: Cross multiply
    677.50x = 1,015.34 × 433.49
  4. Step 4: Simplify right side
    677.50x = 440,132.49
  5. Step 5: Solve for x
    x = 440,132.49/677.50
  6. Step 6: Final answer
    x = 649.64

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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.