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Finding the Fourth Proportional to 1,165.78, 1,608.42 and 816.67

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Solution

The fourth proportional to 1,165.78, 1,608.42 and 816.67 is: 1,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.78 : 1,608.42 = 816.67 : x
  2. Step 2: Convert to fraction form
    1,165.78/1,608.42 = 816.67/x
  3. Step 3: Cross multiply
    1,165.78x = 1,608.42 × 816.67
  4. Step 4: Simplify right side
    1,165.78x = 1,313,548.36
  5. Step 5: Solve for x
    x = 1,313,548.36/1,165.78
  6. Step 6: Final answer
    x = 1,126.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.