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Finding the Fourth Proportional to 783.07, 1,174.60 and 262.97

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Solution

The fourth proportional to 783.07, 1,174.60 and 262.97 is: 394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.07 : 1,174.60 = 262.97 : x
  2. Step 2: Convert to fraction form
    783.07/1,174.60 = 262.97/x
  3. Step 3: Cross multiply
    783.07x = 1,174.60 × 262.97
  4. Step 4: Simplify right side
    783.07x = 308,884.56
  5. Step 5: Solve for x
    x = 308,884.56/783.07
  6. Step 6: Final answer
    x = 394.45

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1.5x scale

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.