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Finding the Fourth Proportional to 1,014.05, 1,519.75 and 520.04

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Solution

The fourth proportional to 1,014.05, 1,519.75 and 520.04 is: 779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.05 : 1,519.75 = 520.04 : x
  2. Step 2: Convert to fraction form
    1,014.05/1,519.75 = 520.04/x
  3. Step 3: Cross multiply
    1,014.05x = 1,519.75 × 520.04
  4. Step 4: Simplify right side
    1,014.05x = 790,327.59
  5. Step 5: Solve for x
    x = 790,327.59/1,014.05
  6. Step 6: Final answer
    x = 779.38

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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.