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Finding the Fourth Proportional to 1,131.71, 1,696.75 and 515.11

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Solution

The fourth proportional to 1,131.71, 1,696.75 and 515.11 is: 772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.71 : 1,696.75 = 515.11 : x
  2. Step 2: Convert to fraction form
    1,131.71/1,696.75 = 515.11/x
  3. Step 3: Cross multiply
    1,131.71x = 1,696.75 × 515.11
  4. Step 4: Simplify right side
    1,131.71x = 874,012.89
  5. Step 5: Solve for x
    x = 874,012.89/1,131.71
  6. Step 6: Final answer
    x = 772.29

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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.