Home / 1,166.40-1,748.16-515.52

Finding the Fourth Proportional to 1,166.40, 1,748.16 and 515.52

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Solution

The fourth proportional to 1,166.40, 1,748.16 and 515.52 is: 772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.40 : 1,748.16 = 515.52 : x
  2. Step 2: Convert to fraction form
    1,166.40/1,748.16 = 515.52/x
  3. Step 3: Cross multiply
    1,166.40x = 1,748.16 × 515.52
  4. Step 4: Simplify right side
    1,166.40x = 901,211.44
  5. Step 5: Solve for x
    x = 901,211.44/1,166.40
  6. Step 6: Final answer
    x = 772.64

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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.