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Finding the Fourth Proportional to 1,103.21, 1,654.62 and 410.19

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Solution

The fourth proportional to 1,103.21, 1,654.62 and 410.19 is: 615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.21 : 1,654.62 = 410.19 : x
  2. Step 2: Convert to fraction form
    1,103.21/1,654.62 = 410.19/x
  3. Step 3: Cross multiply
    1,103.21x = 1,654.62 × 410.19
  4. Step 4: Simplify right side
    1,103.21x = 678,708.58
  5. Step 5: Solve for x
    x = 678,708.58/1,103.21
  6. Step 6: Final answer
    x = 615.22

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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.