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Finding the Fourth Proportional to 1,167.33, 1,751.00 and 301.64

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Solution

The fourth proportional to 1,167.33, 1,751.00 and 301.64 is: 452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.33 : 1,751.00 = 301.64 : x
  2. Step 2: Convert to fraction form
    1,167.33/1,751.00 = 301.64/x
  3. Step 3: Cross multiply
    1,167.33x = 1,751.00 × 301.64
  4. Step 4: Simplify right side
    1,167.33x = 528,172.92
  5. Step 5: Solve for x
    x = 528,172.92/1,167.33
  6. Step 6: Final answer
    x = 452.46

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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.