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Finding the Fourth Proportional to 751.87, 1,125.97 and 520.14

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Solution

The fourth proportional to 751.87, 1,125.97 and 520.14 is: 778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.87 : 1,125.97 = 520.14 : x
  2. Step 2: Convert to fraction form
    751.87/1,125.97 = 520.14/x
  3. Step 3: Cross multiply
    751.87x = 1,125.97 × 520.14
  4. Step 4: Simplify right side
    751.87x = 585,662.04
  5. Step 5: Solve for x
    x = 585,662.04/751.87
  6. Step 6: Final answer
    x = 778.94

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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.