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Finding the Fourth Proportional to 1,750.60, 2,626.38 and 518

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Solution

The fourth proportional to 1,750.60, 2,626.38 and 518 is: 777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.60 : 2,626.38 = 518 : x
  2. Step 2: Convert to fraction form
    1,750.60/2,626.38 = 518/x
  3. Step 3: Cross multiply
    1,750.60x = 2,626.38 × 518
  4. Step 4: Simplify right side
    1,750.60x = 1,360,464.84
  5. Step 5: Solve for x
    x = 1,360,464.84/1,750.60
  6. Step 6: Final answer
    x = 777.14

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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.