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Finding the Fourth Proportional to 1,131.16, 1,696.50 and 1,075.61

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Solution

The fourth proportional to 1,131.16, 1,696.50 and 1,075.61 is: 1,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.16 : 1,696.50 = 1,075.61 : x
  2. Step 2: Convert to fraction form
    1,131.16/1,696.50 = 1,075.61/x
  3. Step 3: Cross multiply
    1,131.16x = 1,696.50 × 1,075.61
  4. Step 4: Simplify right side
    1,131.16x = 1,824,772.37
  5. Step 5: Solve for x
    x = 1,824,772.37/1,131.16
  6. Step 6: Final answer
    x = 1,613.19

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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.