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Finding the Fourth Proportional to 1,102.32, 1,653.39 and 408.66

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Solution

The fourth proportional to 1,102.32, 1,653.39 and 408.66 is: 612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.32 : 1,653.39 = 408.66 : x
  2. Step 2: Convert to fraction form
    1,102.32/1,653.39 = 408.66/x
  3. Step 3: Cross multiply
    1,102.32x = 1,653.39 × 408.66
  4. Step 4: Simplify right side
    1,102.32x = 675,674.36
  5. Step 5: Solve for x
    x = 675,674.36/1,102.32
  6. Step 6: Final answer
    x = 612.96

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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.