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Finding the Fourth Proportional to 1,161.50, 1,602.67 and 768.32

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Solution

The fourth proportional to 1,161.50, 1,602.67 and 768.32 is: 1,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.50 : 1,602.67 = 768.32 : x
  2. Step 2: Convert to fraction form
    1,161.50/1,602.67 = 768.32/x
  3. Step 3: Cross multiply
    1,161.50x = 1,602.67 × 768.32
  4. Step 4: Simplify right side
    1,161.50x = 1,231,363.41
  5. Step 5: Solve for x
    x = 1,231,363.41/1,161.50
  6. Step 6: Final answer
    x = 1,060.15

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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.