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Finding the Fourth Proportional to 1,166.45, 1,611.81 and 852.66

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Solution

The fourth proportional to 1,166.45, 1,611.81 and 852.66 is: 1,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.45 : 1,611.81 = 852.66 : x
  2. Step 2: Convert to fraction form
    1,166.45/1,611.81 = 852.66/x
  3. Step 3: Cross multiply
    1,166.45x = 1,611.81 × 852.66
  4. Step 4: Simplify right side
    1,166.45x = 1,374,325.91
  5. Step 5: Solve for x
    x = 1,374,325.91/1,166.45
  6. Step 6: Final answer
    x = 1,178.22

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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.