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Finding the Fourth Proportional to 677.03, 1,015.83 and 512.51

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Solution

The fourth proportional to 677.03, 1,015.83 and 512.51 is: 768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.03 : 1,015.83 = 512.51 : x
  2. Step 2: Convert to fraction form
    677.03/1,015.83 = 512.51/x
  3. Step 3: Cross multiply
    677.03x = 1,015.83 × 512.51
  4. Step 4: Simplify right side
    677.03x = 520,617.95
  5. Step 5: Solve for x
    x = 520,617.95/677.03
  6. Step 6: Final answer
    x = 768.98

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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.