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Finding the Fourth Proportional to 1,106.94, 1,659.84 and 645.62

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Solution

The fourth proportional to 1,106.94, 1,659.84 and 645.62 is: 968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.94 : 1,659.84 = 645.62 : x
  2. Step 2: Convert to fraction form
    1,106.94/1,659.84 = 645.62/x
  3. Step 3: Cross multiply
    1,106.94x = 1,659.84 × 645.62
  4. Step 4: Simplify right side
    1,106.94x = 1,071,628.15
  5. Step 5: Solve for x
    x = 1,071,628.15/1,106.94
  6. Step 6: Final answer
    x = 968.10

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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.