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Finding the Fourth Proportional to 1,168.02, 1,751.94 and 302.26

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Solution

The fourth proportional to 1,168.02, 1,751.94 and 302.26 is: 453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.02 : 1,751.94 = 302.26 : x
  2. Step 2: Convert to fraction form
    1,168.02/1,751.94 = 302.26/x
  3. Step 3: Cross multiply
    1,168.02x = 1,751.94 × 302.26
  4. Step 4: Simplify right side
    1,168.02x = 529,541.38
  5. Step 5: Solve for x
    x = 529,541.38/1,168.02
  6. Step 6: Final answer
    x = 453.37

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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.