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Finding the Fourth Proportional to 1,195.64, 1,804.16 and 1,150.64

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Solution

The fourth proportional to 1,195.64, 1,804.16 and 1,150.64 is: 1,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.64 : 1,804.16 = 1,150.64 : x
  2. Step 2: Convert to fraction form
    1,195.64/1,804.16 = 1,150.64/x
  3. Step 3: Cross multiply
    1,195.64x = 1,804.16 × 1,150.64
  4. Step 4: Simplify right side
    1,195.64x = 2,075,938.66
  5. Step 5: Solve for x
    x = 2,075,938.66/1,195.64
  6. Step 6: Final answer
    x = 1,736.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.