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Finding the Fourth Proportional to 1,106.80, 1,660.96 and 414.02

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Solution

The fourth proportional to 1,106.80, 1,660.96 and 414.02 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.80 : 1,660.96 = 414.02 : x
  2. Step 2: Convert to fraction form
    1,106.80/1,660.96 = 414.02/x
  3. Step 3: Cross multiply
    1,106.80x = 1,660.96 × 414.02
  4. Step 4: Simplify right side
    1,106.80x = 687,670.66
  5. Step 5: Solve for x
    x = 687,670.66/1,106.80
  6. Step 6: Final answer
    x = 621.31

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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.