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Finding the Fourth Proportional to 1,106.04, 1,659.47 and 456.83

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Solution

The fourth proportional to 1,106.04, 1,659.47 and 456.83 is: 685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.04 : 1,659.47 = 456.83 : x
  2. Step 2: Convert to fraction form
    1,106.04/1,659.47 = 456.83/x
  3. Step 3: Cross multiply
    1,106.04x = 1,659.47 × 456.83
  4. Step 4: Simplify right side
    1,106.04x = 758,095.68
  5. Step 5: Solve for x
    x = 758,095.68/1,106.04
  6. Step 6: Final answer
    x = 685.41

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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.