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Finding the Fourth Proportional to 1,167.51, 1,751.57 and 518.09

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Solution

The fourth proportional to 1,167.51, 1,751.57 and 518.09 is: 777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.51 : 1,751.57 = 518.09 : x
  2. Step 2: Convert to fraction form
    1,167.51/1,751.57 = 518.09/x
  3. Step 3: Cross multiply
    1,167.51x = 1,751.57 × 518.09
  4. Step 4: Simplify right side
    1,167.51x = 907,459.55
  5. Step 5: Solve for x
    x = 907,459.55/1,167.51
  6. Step 6: Final answer
    x = 777.26

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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.