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Finding the Fourth Proportional to 1,106.06, 1,659.03 and 336.50

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Solution

The fourth proportional to 1,106.06, 1,659.03 and 336.50 is: 504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.06 : 1,659.03 = 336.50 : x
  2. Step 2: Convert to fraction form
    1,106.06/1,659.03 = 336.50/x
  3. Step 3: Cross multiply
    1,106.06x = 1,659.03 × 336.50
  4. Step 4: Simplify right side
    1,106.06x = 558,263.60
  5. Step 5: Solve for x
    x = 558,263.60/1,106.06
  6. Step 6: Final answer
    x = 504.73

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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.