Home / 1,166.16-1,749.84-517.36

Finding the Fourth Proportional to 1,166.16, 1,749.84 and 517.36

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Solution

The fourth proportional to 1,166.16, 1,749.84 and 517.36 is: 776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.16 : 1,749.84 = 517.36 : x
  2. Step 2: Convert to fraction form
    1,166.16/1,749.84 = 517.36/x
  3. Step 3: Cross multiply
    1,166.16x = 1,749.84 × 517.36
  4. Step 4: Simplify right side
    1,166.16x = 905,297.22
  5. Step 5: Solve for x
    x = 905,297.22/1,166.16
  6. Step 6: Final answer
    x = 776.31

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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.