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Finding the Fourth Proportional to 791.85, 1,187.50 and 305.07

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Solution

The fourth proportional to 791.85, 1,187.50 and 305.07 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.85 : 1,187.50 = 305.07 : x
  2. Step 2: Convert to fraction form
    791.85/1,187.50 = 305.07/x
  3. Step 3: Cross multiply
    791.85x = 1,187.50 × 305.07
  4. Step 4: Simplify right side
    791.85x = 362,263.16
  5. Step 5: Solve for x
    x = 362,263.16/791.85
  6. Step 6: Final answer
    x = 457.49

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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.