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Finding the Fourth Proportional to 1,106.75, 1,659.01 and 696.18

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Solution

The fourth proportional to 1,106.75, 1,659.01 and 696.18 is: 1,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.75 : 1,659.01 = 696.18 : x
  2. Step 2: Convert to fraction form
    1,106.75/1,659.01 = 696.18/x
  3. Step 3: Cross multiply
    1,106.75x = 1,659.01 × 696.18
  4. Step 4: Simplify right side
    1,106.75x = 1,154,969.58
  5. Step 5: Solve for x
    x = 1,154,969.58/1,106.75
  6. Step 6: Final answer
    x = 1,043.57

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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.