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Finding the Fourth Proportional to 1,106.37, 1,659.15 and 456.75

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Solution

The fourth proportional to 1,106.37, 1,659.15 and 456.75 is: 684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.37 : 1,659.15 = 456.75 : x
  2. Step 2: Convert to fraction form
    1,106.37/1,659.15 = 456.75/x
  3. Step 3: Cross multiply
    1,106.37x = 1,659.15 × 456.75
  4. Step 4: Simplify right side
    1,106.37x = 757,816.76
  5. Step 5: Solve for x
    x = 757,816.76/1,106.37
  6. Step 6: Final answer
    x = 684.96

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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.