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Finding the Fourth Proportional to 1,167.69, 1,751.57 and 302

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Solution

The fourth proportional to 1,167.69, 1,751.57 and 302 is: 453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.69 : 1,751.57 = 302 : x
  2. Step 2: Convert to fraction form
    1,167.69/1,751.57 = 302/x
  3. Step 3: Cross multiply
    1,167.69x = 1,751.57 × 302
  4. Step 4: Simplify right side
    1,167.69x = 528,972.63
  5. Step 5: Solve for x
    x = 528,972.63/1,167.69
  6. Step 6: Final answer
    x = 453.01

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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.